## Maths Syllabus

Please review the summary listing below which shows whatâ€™s taught at each year group and the Maths objective criteriaâ€™s that will be completed whilst having classes with us.

When you commence classes with Multiply Music you can start at any grade / level ability.

**Year 1**

**Position & Shapes**

- Direct and movement (Whole, half, quarter & three-quarter turns)
- 2D & 3D shapes
- Comparing weights / measurements
- Cutting shapes equally / equivalents (Fractions)
- Names of shapes (Including various locations and movement Adding & Subtracting

**Adding & Subtracting**

- Money values & Change
- Symbols and their meaning
- Number Bonds (Up to 20)
- Missing number problems
- Addition & Subtraction skill builders
- Sum & Difference
- Related subtraction facts

**Patterns & Money**

- Colour patterns
- Size and shape patterns
- Growing patterns
- Coin values
- Equivalent coins
- Exchanging coins

**Data, Graphs & Measurement**

- Tally charts
- Pictograms
- Interpreting charts
- Comparing
- Long and short
- Wide and narrow
- Measure objects

**Multiplication & Division**

- Symbols and their meaning
- Multiplication expressions
- Division for equal groups
- Counting equal groups (multiplication)

**Time, Place Value & Probability**

- Time sequencing
- Time values (seconds, minutes, hours)
- Reading clocks (Digital and analogue)
- Matching clocks and times
- AM and PM
- Seasons, months, and calendars
- Comparing numbers
- Number recall
- Read & writing numbers up to 100
- Counting to 3 (Pictures and frames)
- Counting to 10 (Including images)
- Skip counting (2s, 5s and 10s)
- Greater and less than
- More or less likely

**Year 2**

**Subtraction & Addition**

- Skill Builders (Subtraction) up to 20 (Including adding 0, pictures, number grids)
- Skill builders (Addition) up to 20 (Including adding 0, doubles, three numbers, + ones)
- Subtraction and addition sentences and related sums
- Understanding word problems up to 20
- Number lines up to 20
- True or False
- Column Addition and subtraction
- Grouping and models (Including tens and ones)

**Multiplication & Division**Â

- Multiply up to 10
- Word problems and multiplication facts for 2, 5, and 10s (including true or false)
- Understanding multiplication (including model arrays, number lines and circle groups)
- Dividing equal groups
- Division sentences
- Relates multiplication and division arrays
- Divide up to 10
- Word problems and division facts for 2, 5, and 10s (including true or false)

**Probability, Estimation & Sorting**

- Estimation to ten (Smallest to biggest)
- Less or more likely
- Certainly, probability, unlikely, impossible
- Sorting objects & Venn diagram

**Fractions**

- Equal, half and quarter parts
- Fraction shapes and comparing
- Number lines
- Word problems
- Fractions up to tenths

**Data & Graphs**

- Tally Charts
- Pictograms
- Comparing tables and creating
- Bar charts

**Two & Three-dimensional Shapes**

- Two-dimensional shapes
- Sides and vertices
- Symmetry
- Composing shapes and equal sides
- Identifying three-dimensional shapes
- Vertices, edges, and faces (3D shapes)
- Traced Shapes (3D shapes)
- Shapes to everyday objects
- Spatial Sense

**Counting & Patterns**

- Counting to 10, 20, 100
- Counting by 10s (Up to 100)
- Forwards and backwards
- Number Charts and number lines
- Odd and even Numbers
- Missing numbers and word problems
- Roman Numerals
- Shape patterns and trends
- Greater than
- Words to digits

**Place Values**

- Tens and Ones (Up to 100)
- Value Models
- Identifying digits
- Converting numbers

**Money**

- Coin values and counting
- Equivalent groups (Comparing money amounts)
- Word problems (Including giving change)

**Measurements & Time**

- Comparing sizes
- Thermometers
- Reading rulers and appropriate metrics
- Reading Digital and Analogue clocks
- Comparing clocks
- AM&PM
- Calendars (Including schedules and elapsed time)

**Year 3**

**Counting & Number Patterns**

- Skip counting (2, 5, 10)
- Skip counting (4, 8, 100)
- Skip counting (Missing number sequences)
- Charts
- Odd & Even Numbers
- Number lines
- Repeating patterns (Including growing patterns)

**Time**

- Read and write clock times (analogue and digital clocks)
- Time words (oâ€™clock, half, quarter)
- Comparing clocks (Including AM & PM)
- Elapsed time & and patterns
- Calendarâ€™s & Schedules

**Fractions**

- Identifying fractions
- Fraction bars and area models
- Number lines (including adding and subtracting)
- Comparing fractions (Including greatest fraction and equivalent fractions)
- Decomposing fractions
- Adding and subtracting fractions
- Word problems

**Division**

- Division skill builders up to 10
- Division (Equal groups using images)
- Area models & divide using repeated subtraction
- Division tables and input and output charts
- Related multiplication and division sums

**Perimeter & Area**

- Perimeters
- Area (Including figures on grids)
- Two figures with the same are

**Two & Three-dimensional Shapes**

- Polygons
- Rotation & congruent shapes (including turns)
- Acute, obtuse, right angles
- Lines of symmetry
- Three-dimensional shapes
- Vertices, edges, faces and comparing to everyday objects

**Multiplication**

- Multiplication Skill builders up to 10
- Times tables up to 10
- Word problems (Including True or false questions)
- Multiplication (Written column method)
- Area models & Input and output charts
- Multiply using properties
- Division skill builders up to 10
- Division (Equal groups using images)
- Area models & divide using repeated subtraction
- Division tables and input and output charts
- Related multiplication and division sums

**Place Values**

- Models up to 100
- Value of digits up to hundreds
- Regrouping tens and ones to make a number
- Convert from expanded forms
- Word problems (including estimation)
- Estimating to the nearest 10 and 100s (Including sums)
- Comparing numbers up to 1,000
- Table charts
- Ordinal numbers up to 100th
- Converting digits to words (up to 1,000)
- Roman numerals

**Money**

- Coin values and notes
- Equivalent money groups
- Add and subtracting money values
- Word problems (Including giving change)
- Least number of coins (puzzle problems)

**Subtraction & Addition**

- Input / Output tables
- Word Problems (up to three-digit numbers)
- Balancing equations (Addition and subtraction)
- Making numbers using addition and subtraction (including via images)
- Column addition and subtraction (up to three-digit numbers)
- Addition & subtraction (three or more two-digit numbers, 2- and 1-digit models, doubles, and zero’s)
- Related subtraction and addition sumsÂ

**Data & Graphs**

- Line plots, Bar charts
- Tally charts, Pictograms
- Line graphs, Venn diagrams
- Financial bookkeeping
- Reading financial records
- Probability: Spinners (less and more likely)
- Probability: Certain, probable, unlikely, and impossible

**Units Of Measurement**

- Appropriate measurement tools
- Converting metricsÂ
- Thermometers
- Word problems

**Year 4**

**Place Values & Measurements**

- Value models up to hundred thousand
- Value of digits
- Convert to/from a number
- Convert from expanded forms (Including word problems)
- Even & Odd (Including arithmetic rules)
- Skip counting (6, 7, 9, puzzles)
- Roman numerals
- Comparing numbers up to 100,000 (Including addition and subtraction)
- Convert between numbers and words (up to 10,000)
- Reading thermometers (including reasonable temperatures)
- Correct metric lengths assigned to the appropriate meaning (Including converting metric units of mass)
- Conversion tables (metric units, imperial units)
- Imperial units and converting imperial units of length and which are appropriate
- Volumes

**Logic Reasoning & Patterns**

- Guessing numbers (Including largest/smallest number possible)
- Age puzzles
- Find two numbers based on sum, difference, product, and quotient
- Repeating patterns (including next shape in the pattern, making own, growing)

**Two & Three-dimensional Figures**

- Identifying two-dimensional & three-dimensional shapes
- Identifying polygons (Including regular and irregular polygons)
- Lines, line segments and rays
- Angles (Greater than, equal to, right, obtuse, acute, reflex)
- Using a protractor
- Parallel and perpendicular lines
- Translations, reflections, rotation, symmetry (including finding lines and drawing lines of symmetry)
- Congruent shapes
- Identify faces of three-dimensional shapes
- Volumes (Including counting vertices, edges, and faces)
- Acute, obtuse, and right angles
- Scalene, isosceles, and equilateral triangles
- Parallel sides in quadrilaterals
- Identify: parallelograms, trapeziums, rectangles, rhombuses
- Draw quadrilaterals and classify

**Money**

- Count coins and notes (up to ÂŁ5 note)
- Purchasing (have enough money up to ÂŁ10)
- Comparing money amounts
- Inequalities with money
- Add and subtract money amounts (including word problems)
- Price lists, Inequalities with money

**Multiplication**

- Multiplication facts for 2, 5, 10 (including true or false, sorting)
- Multiplication facts for 3, 4, 6 (including true or false, sorting)
- Multiplication facts for 7, 8, 9 (including true or false, sorting)
- Multiplication facts for 10, 12 (including true or false, sorting, missing factors)
- Multiplication terms up to 12 â€“ Skill builders
- Factor pairs
- Input/output tables
- Area models
- Multiply three or more numbers

**Subtraction**

- 2-digit from a 3-digit (Including word problems)
- 3-digit & 4-digit numbers
- Balance subtraction equations (up to three digits)
- Subtraction up to 4 digits (Including input/output tables)
- Subtract across zero + missing number sentences
- Subtract multiples of 10, 100, 1,000 from a number

**Perimeter & Area**

- Perimeter of rectangles, rectilinear shapes, polygons
- Perimeter: missing side lengths (including rectangles), word problems
- Find the area of figures made of unit squares
- Two shapes with the same area
- Create figures with a given area (including rectangles)
- Find the area of rectangles and squares

**Integers**

- Understanding integers
- Graph integers on a number line (Including comparing and ordering)
- Count on a number line with negative numbers

**Data & Graphs**

- Objects on co-ordinate plane
- Co-ordinate planes as maps (including finding, counting distance, distance, or travel)
- Tally charts
- Frequency charts
- Bar graphs (Including creating own)
- Grouped data
- Line plots
- Pictograms (including creating and interpreting)
- Venn diagrams (Sorting and counting shapes)

**Division**

- Division tables (Including word problems)
- Input / output tables
- Divide two-digit numbers by oneâ€™s digit numbers using area models (or without models + word problems)
- Divide three-digit numbers by one-digit numbers using area models (or without models + word problems)
- Divisibility rules/facts for 2, 5 and 10 (including true or false)
- Division facts for 3, 4, 6 (Including true or false)
- Division facts for 7, 8, 9 (Including true or false)
- Division facts up to 12 â€“ Skill builders (including true or false, missing numbers, sorting)
- Counting equal groups (Including writing division sentences)
- Relate multiplication and division for arrays (including equal groups)

**Decimals**

- Decimals to fractions (Visa versa)
- Decimals expressed in words.
- Round decimals to the nearest whole number
- Number sequences involving decimals.
- Graph decimals on a number line
- Comparing decimals (number lines, models, greater and less than, order of size)

**Probability & Statistics**

- Mean, Range
- Interpret charts to find mean, range.
- More and less likely

**Operations with Decimals**

- Add and subtract decimal numbers (Including word problems)
- Add three or more decimal numbers (Including word problems)
- Multiply a decimal by 10 or 100.
- Divide a whole number by 10 or 100 (Including decimal quotients)

**Properties**

- Addition, subtraction, multiplication, and division terms
- Understanding brackets
- Equation using properties of addition (Including add using properties)
- Distributive property: find the missing factor (Including multiplication)
- Relate the following: addition and multiplication, multiplication, and division.
- Multiply by 0 or 1: complete the sentence.

**Equations & Variables**

- Identify equations.
- Solve for the variable (addition and subtraction, multiplication, and division)
- Write variable expressions (including word problems)

**Time**

- Match clocks and time
- Write times (Including AM or PM)
- Elapsed time
- Read a calendar.
- Time patterns (Including Timelines)
- Converting 24-hour to 12-hour clocks (Visa versa)

**Estimation & Rounding**

- Round using a number line (Nearest ten or hundred)
- Round to the nearest ten, hundred, thousand
- Round money amount & puzzles
- Solve inequalities using estimation.
- Estimate sums up to 1,000 (Including word problems)
- Estimate differences up to 1,000 (Including word problems)
- Estimate products (Multiply by 1 or 2-digit numbers including word problems)
- Estimate quotients (including word problems)

**Mixed Operations**

- Multiplication and division facts up to 12 (true or false)
- Numerical expressions
- Input / output tables: add and subtract by 1,000 (Including finding rules)
- Add, subtract, multiply, divide word problems.
- Two steps word problems (including subtraction, multiplication, division)

**Addition**

- Add a two-digit number to three-digit number (including word problems)
- Balance addition equations (2 digit, 3-digit or 4-digit numbers)
- Adding 2x 3-digit numbers
- Addition input/output tables (up to four digits)
- Add three or more numbers up to three digits.
- Add multiples of 10, 100 or 1000s to whole numbers
- Addition patterns over increasing place values

**Fractions**

- Fraction bars & Area models
- Fractions of a group
- Comparing Fractions & Drawing Number lines (Including graphing positions)
- Unit fraction (Including word problems)
- Fractions of a number (including unit fractions and word problems)
- Decompose fractions (Including into unit fractions)
- Add and subtract fractions with same denominators on number line.
- Add 3 or more fractions with the same denominator.
- Equivalent fractions using area models (1, 2 models)
- Equivalent fractions on number lines (Including graphing positions)
- Write fractions in lowest terms.
- Graph and compare fractions with the same denominator & numerator on number line.

**Year 5**

**Place Value & Number Sense**

- Values up to millions
- Standard and expanded form.
- Writing numbers and words (100,00, 1m)
- Roman numerals & Ordinal numbers to 100
^{th}Â place - Rounding (Thousands, hundred thousand)
- Rounding puzzles and even and odd (including arithmetic rules)
- Put numbers in order of size (up to 1m)

**Add and Subtract Fractions with Different Denominators**

- Add & subtract fractions with different denominators (Including word problems)
- Add up to 4 fractions with denominators of 10 and 100.
- Subtract fractions with different denominators using models.
- Add three of more fractions with different denominators (including word problems)
- Add and subtract mixed numbers with different denominators (including word problems)

**Money & Financial Literacy**

- Compare money amounts.
- Round money amounts
- Add and subtract money amounts.
- Making change (Price lists)
- Budget allowance (Including saving options)
- Calculating profits

**Multiplication: One digit, Fractions, Two Digits, Decimals**

- Multiply multiplies (I.e., 10s, 100s, 1,000s)
- Properties of multiplication
- Multiply 1-digit numbers by 2 or 3 using area models.
- Multiply 2-digit by 2-digit (including models)
- Multiply 1-digit numbers by 4 using area models.
- Multiply 1-digit numbers by multi-digits, 4 digits and larger numbers.
- Multiply unit fractions by whole numbers using number lines and models.
- Multiply unit fractions by whole numbers: Sorting.
- Multiply fractions by whole numbers: Number lines, area models.
- Fractions of a number (Including word problems)
- Multiply by 10 or 100 (Decimals)
- Box & lattice multiplication
- Divide by 10, 100, 1,000.
- Multiply by 10, 100, 1,000 (Decimals)

**Geometric Measurement**

- Perimeters of rectilinear shapes
- Perimeters of polygons
- Perimeters: Missing lengths
- Areas of rectangles and squares
- Areaâ€™s (between two rectangles, word problems, to determine costs, Comparing)
- Volumes

**Probability & Statistics**

- Probability (Including predictions)
- Mode, median, range, Mean.
- Interpret charts (Mode, median, range, mean)

**Decimals Up to Hundredths**

- Model decimals and fractions (What is illustrated?)
- Place values in decimal numbers up to hundredths
- Equivalent decimals (number lines, up to hundredths)
- Fractions to decimals and vice versa
- Comparing
- Positive and negative decimals
- Sequences

**Number Theory: Equations, Variables, Integers, Indices, Primes, and Common Factors**

- Variable expressions (Including word, evaluate)
- Solve the variable (Addition, subtraction, multiplication, and division)
- Two-variable relationships (tables, writing equations)
- Square and cube numbers
- Divisibility rules (Including word problems)
- Factors (Pairs, Including primes, highest common, square numbers)
- Prime factorisation

**Data & Graphs (Including co-ordinate plane)**

- Reading tables
- Tally charts, line graphs, bar graphs, line plots, frequency charts (Including creating own graphs of all listed)
- Stem and leaf plots, pie charts
- Best types of graphs to fit correct purpose.
- Objects on co-ordinate plane
- Co-ordinate planes as maps
- Direction to starting point (using a compass)

**Subtraction**

- Subtract three-digit numbers (Including word problems)
- Balance subtraction equations â€“ three-digits
- Subtract up to six-digit numbers (Including word problems)
- Fill in missing digits (up to six digits)
- Subtraction patterns
- Estimate differences = 4 digits, 6 digits (Including word problems)

**Time**

- Matching analogue and digital clocks (Including reading clock times)
- Convert time units (Including fraction time units)
- Elapsed time (Including word problems)
- Convert between 12â€“24-hour time.
- Time patterns (Including transportation schedules)

**Two Dimensional & Three-dimensional Figures (Including Symmetry and Transformations)**

- Polygons (Including regular and irregular)
- Graphing triangles and quadrilaterals
- Lines, line segments, rays (Including parallel, perpendicular, intersecting)
- Congruent figures
- Lines of symmetry (lines, draw and rotational symmetry)
- Translations, Reflections, Rotations (Including combinations)
- Three-dimensional figures (Identifying, faces, Nets)
- Count vertices, edges, and faces.

**Percents & Ratios**

- Percentage illustrated.
- Understanding Percents â€“ bar models
- Convert fractions to Percents and vice versa (Including using grid models)
- Compare Percents and fractions.
- Percent of a number
- Unit rates and ratioâ€™s

**Division**

- Division facts (2, 3, 4, 5, 6, 8, 10, 12)
- Properties of division
- Division using repeated subtraction and distributive property.
- 2-digit numbers by 1 digit (Including area models, quotients, tables, remainders)
- 3-digit by 1 digit (word, tables, remainders, quotient)
- Zeroâ€™s
- 4-digit by 1 digit
- Comparing
- Inequalities

**Add and Subtract Fractions with the Same Denominator**

- Decompose fractions multiple ways.
- Adding & subtract same denominators (Area models, bar models, number lines)
- Add and subtract same denominators (Number lines, word problems)
- Add three or more fractions with the same denominator.
- Mixed numbers

**Addition**

- Properties of addition
- Addition patterns over increasing place values
- Add two & three-digit numbers (including word problems)
- Balance addition equations (three-digit numbers)
- Add numbers up to six digits (including word problems, missing digits)
- Choose numbers with a particular sum.
- Estimate sums (four-digits, six-digits, word problems up to six-digits)

**Logic Reasoning, Patterns & Sequences**

- Order
- Two numbers based on sum, difference, product, and quotient.
- Number Patterns (Including noticing mistakes, increasing)
- Number Patterns (geometric, shape)

**Units Of Measurement**

- Reading temperatures (Thermometers, differences in temperature)
- Appropriate lengths (including metrics, imperial metrics)
- Convert between metric and imperial units.

**Decimals Up to Thousands**

- Decimals expressed into words (up to thousands)
- Equivalent decimals (up to thousands)
- Convert fractions and mixed numbers to decimals (Visa versa = decimals to fractions and mixed numbers)
- Ordering decimals

**Angles**

- Acute, right, obtuse, and straight lines
- Angles as fractions in a circle
- Angles of degrees (90, 180, 270, 360)
- Measure angles (Using protractors, angles in a circle, estimates)

**Add & Subtract Decimals**

- Add and subtract decimals up to tenths.
- Add decimals up to hundredths, using blocks.
- Add and subtract decimals up to thousands (Including word problems)
- Add three or more decimals (Including word problems)
- Inequalities
- Estimate sums.
- Solve decimal problems using diagrams.

**Fractions & Mixed Numbers**

- Identify mixed numbers.
- Equivalent fractions (Area models, graph number lines, missing numerator, or denominator)
- Fractions of a whole or group
- Denominators of 10 and 100
- Patterns
- Lowest terms
- Fractions with different denominators
- Comparing
- Related division and fractions

**Year 6**

**Multiply & Divide Fractions**

- Multiply unit fractions by whole numbers (number lines, models, sorting)
- Fractions of a number
- Multiply two fractions.
- Divide unit fractions by whole numbers using models.

**Add & Subtract Fractions**

- Decompose fractions.
- Add & subtract fractions (Including number lines, word problems, same denominators)
- Add & subtract up to 4 fractions with denominators of 10 and 100.
- Add & subtract different denominators (Including models)
- Add three or more fractions with different denominators.
- Inequalities & Estimation

**Division (Including Fluency + Decimals)**

- Division facts up to 12 (Including word problems)
- Divide 1-digit numbers and decimals by whole numbers (including word problems)
- Estimate quotients (Including word and compatible numbers)
- Divide by 2-digit numbers using models and partial quotients.
- Divide 2 & 3-digit numbers by 2-digit numbers.
- Divide 4-digit by 2-digit numbers (including word problems)
- Adjust & estimate decimal quotients.
- Relate multiplication and division.
- Divide numbers ending in zeros.
- Divide by decimals or whole number by 10, 100 or 1,000.
- Division patterns over increasing place values
- Divide a decimal by a power of ten with decimals (Including finding missing number)
- Divide decimals using blocks & area models.

**Addition & Subtraction (Including Decimals & Integers)**

- Whole numbers up to millions (Including word problems)
- Missing digits (4-digit column addition / subtraction)
- Properties of addition
- Inequalities in addition & subtraction
- Addition & Subtraction estimation up to six digits (Including word problems)
- Add & subtract decimals numbers (including using blocks, word problems)
- Decimals with a particular sum or difference
- Estimations & inequalities
- Understanding integers (Including use on vertical and horizontal number lines, comparing)

**Two & Three-dimensional Figures**

- Regular & irregular polygons
- Sorting polygons in Venn diagrams
- Lines, line segments and rays
- Parts of a circle
- Parallel, perpendicular, and intersecting lines
- Classify triangles & quadrilaterals.
- Missing angles & parallel sides (Triangles and quadrilaterals)
- Identify and draw: parallelograms, trapeziums, rectangles, rhombuses.
- Identifying three-dimensional figures (Including nets)
- Counting vertices, edges & faces
- Viewing 3D shapes from different perspectives

**Ratio & Rates**

- Writing ratios (Including fractions, word problems, equivalent)
- Ratio tables & unit rates (Including equivalents)
- Solve the proportion
- Scale drawings (Including word problems)

**Co-ordinate Plane**

- Describe co-ordinate plane
- Plotting graph points
- Maps & Objects
- Four quadrant grids
- Quadrants

**Units Of Measurements**

- Choose reasonable temperature (+ calculate temperature differences)
- Compare metrics (+ add and subtract)
- Imperial metrics (+ converting imperial units of lengths, weight, volume)
- Convert miles to kilometres

**Mixed Operations (Including Equations & Variables)**

- Add, subtract, multiply, and divide whole numbers
- Write numerical expressions (Including evaluating)
- Evaluate numerical expressions with brackets and square brackets
- Missing operators
- Equations with mixed operations (True or false)
- Add, subtract, and multiply fractions and mixed numbers (Including word problems)
- Write variable expressions (Including word problems, properties of addition and multiplication)
- Identify equivalent expressions using bar models
- Solve one-step equations using algebra tiles
- Solve one-step addition and subtraction, multiplication, and division equations with whole numbers
- Finding a value using two-variable equations
- Tables from graphsÂ

**Data & Graphs**

- Read tables
- Interpret pictograms, line graphs & plots
- Categorical data (Bar charts, double bar charts, grouped data)
- Frequency charts & stem and leaf plots
- Pie charts (Including central angles)
- Best type of graph
- Understanding probability (Including finding + experimental, making predictions)
- Find: Mode, mean, median, range (Including missing numbers of each)
- Interpret charts for: mode, mean, median, range

**Fractions & Mixed Numbers**

- Fraction review (whole, groups, equivalent, patterns)
- Lowest terms (Including lowest common denominator)
- Converting (Mixed too improper and vice versa)
- Arithmetic & Geometric sequences
- Division
- Reciprocals

**Number Theory & Number Sequences**

- Divisibility rules (Including word problems)
- Factors (Including HCF)
- Prime & Composite (Including prime factorisation)
- Lowest common multiple
- Following rule (Including number patterns)
- True or false (Addition & Multiplication)
- Linear & geometric sequences
- Increasing number patterns & Shapes

**Symmetry & Transformations**

- Lines of symmetry (Including rotational)
- Translations, reflections & rotations
- Congruent and similar shapes

**Money & Financial Literacy**

- Add & subtract money amounts (including word problems)
- Multiply money amounts (including word problems & decimals)
- Divide money amounts (including word problems & decimals)
- Price lists & Unit prices
- Advantages & disadvantages
- Payment methods
- Financial records (Reading & keeping)
- Budgets (Balance & adjust)

**Decimals**

- What decimals are illustrated? (+ equivalent decimals)
- Place values and decimals expressed into words
- Rounding & number lines (Including comparing)
- Converting decimals to fractions or mixed numbers

**Geometric Measurement**

- Perimeter with whole number side lengths (+ decimals)
- Area of squares and rectangles (+ area of parallelograms, triangles)
- Area of compound figures (Including area between two rectangles)
- Area and perimeter of figures on grids
- Use area and perimeter to determine cost
- Volume of cubes and cuboids

**Multiplication (Including Fluency + Decimals)**

- Multiplication facts up to 12 (including finding missing factors)
- Multiply 1-digit numbers (including word problems)
- Properties of multiplication
- Multiply 2 by 2-digit numbers using area models (Including missing steps)
- Box & lattice multiplication
- Multiply 2 by 3- or 4-digit numbers (Including word and missing number problems)
- Multiply 3 or more numbers up to 2 digits each
- Inequalities with multiplication
- Multiply numbers ending in zeros
- Multiply a decimal by 10, 100, 1,000
- Multiply by a power of ten with decimals (including missing numbers)
- Multiply decimals by 1-digit whole number using distributive property & whole numbers (Including word problems)
- Multiply a decimal by 2-digit whole numbers using area models
- Multiply three or more numbers, one of which is a decimal

**Place Value & Number Sense**

- Convert between standard and expanded form
- Place values (Including word problems)
- Writing numbers up to ten million (Including converting words to digits & comparing)
- Roman numerals
- Rounding up to the thousands place
- Even & odd: Arithmetic rules

**Time**

- Convert time units
- Elapsed time
- Convert between 12-hour & 24-hour
- Time zones (12-hour & 24-hour)
- Schedules and timelines (Including 12-hour & 24-hour & time patterns)

**Angles & Problem Solving**

- Types of angles
- Use of protractors
- Missing angles (Including vertical, adjacent angles, supplementary, complimentary)
- Largest possible quotient
- Multi-step (including word problems, remainders, reasonable answers)
- Guess & check problems
- Venn diagrams to solve problems

**Percents**

- Percentage illustrated
- Bar models & fraction grids
- Converting between Percents, fractions & decimals (including word problems)
- Comparing
- Percent of a number