Multiplication, fractions &amp; area

Prerequisite and Diagnostic

Grade 3 mathematics readiness diagnostic

I can show what I already know and choose a useful strategy for each Grade 3 readiness task.

Prerequisite and Diagnostic

Place value and number-sense readiness

I can use hundreds, tens, ones, and number lines to explain the size and order of whole numbers.

Prerequisite and Diagnostic

Addition and subtraction readiness

I can add and subtract within 1,000 using place-value strategies and explain my regrouping.

Prerequisite and Diagnostic

Equal-groups and fraction readiness

I can recognize equal groups, equal shares, and equal parts before beginning Grade 3 multiplication, division, and fractions.

Prerequisite and Diagnostic

Choose mathematical tools and representations

I can choose a model, diagram, table, graph, or equation that fits a problem and explain why it helps.

Term 1: August 15–December 15

Develop place value, addition, subtraction, money, multiplication, division, and algebraic reasoning.

29 lessons

Number and Operations

Develop place value, addition, subtraction, money, and fraction understanding.

8 lessons

Place Value, Addition, and Subtraction

Compose and decompose numbers through 100,000

I can compose and decompose numbers through 100,000 using objects, pictures, expanded notation, and equations.

Place Value, Addition, and Subtraction

Read, write, and compare numbers to 100,000

I can use place value to read, write, represent, and compare whole numbers through 100,000.

Place Value, Addition, and Subtraction

Use place-value relationships to locate numbers between benchmarks

I can use base-ten place-value relationships and consecutive multiples to locate a number before rounding.

Place Value, Addition, and Subtraction

Round whole numbers on a number line

I can round whole numbers to the nearest ten, hundred, or thousand by showing where the number belongs on a number line.

Place Value, Addition, and Subtraction

Add whole numbers within 1,000

I can add whole numbers within 1,000 using place-value strategies, properties, and the standard algorithm.

Place Value, Addition, and Subtraction

Subtract whole numbers within 1,000

I can subtract whole numbers within 1,000 using place-value strategies, properties, and the standard algorithm.

Place Value, Addition, and Subtraction

Estimate and assess reasonableness

I can make a quick estimate and use it to decide whether an exact answer is reasonable.

Place Value, Addition, and Subtraction

Determine the value of coins and bills

I can determine the total value of a collection of coins and bills and write the amount correctly.

Algebraic Reasoning

Use multiplication, division, properties, equations, tables, and patterns to reason.

19 lessons

Algebraic Reasoning and Problem Solving

Represent one- and two-step problems with models and equations

I can represent one- and two-step addition, subtraction, multiplication, and division problems with strip diagrams and equations.

Algebraic Reasoning and Problem Solving

Choose operations and justify solutions

I can choose the operation that matches a problem situation and justify why it fits the numbers and the question.

Lesson 3Not startedFREE

Multiplication and Division

Interpret multiplication with equal groups

I can interpret equal groups, connect them to repeated addition, and write a multiplication equation that matches the model.

Multiplication and Division

Model equal groups with multiplication equations

I can build equal groups and write a multiplication equation that represents the model.

Multiplication and Division

Relate multiplication to skip counting

I can connect equal groups, repeated addition, arrays, and skip counting to explain a multiplication fact and its product.

Multiplication and Division

Use commutative and associative properties

I can use arrays and equal groups to show that turning factors around or regrouping factors does not change the product.

Multiplication and Division

Use distributive reasoning

I can break one factor into easier parts, solve the partial products, and combine them to find the full product.

Multiplication and Division

Use properties to derive facts

I can use a fact I know and a multiplication property to figure out a new multiplication fact.

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Multiplication and Division

Multiply a two-digit number by a one-digit number

I can multiply a two-digit number by a one-digit number using place value, partial products, and the standard algorithm.

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Multiplication and Division

Build fluency with multiplication facts

I can use equal groups, arrays, known facts, turn-around facts, and skip counting to solve multiplication facts accurately and explain my strategy.

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Multiplication and Division

Identify even and odd numbers

I can decide whether a whole number is even or odd and justify my answer with pairs or divisibility reasoning.

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Multiplication and Division

Interpret division as sharing

I can interpret division as sharing a total equally among a known number of groups.

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Multiplication and Division

Solve equal-sharing division problems

I can solve equal-sharing division problems by distributing objects fairly and interpreting the quotient.

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Multiplication and Division

Interpret division as grouping

I can make equal groups of a known size and find how many groups I can make.

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Multiplication and Division

Relate multiplication and division

I can use one equal-groups model to write a multiplication fact and a related division fact.

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Multiplication and Division

Build fluency with division facts

I can use equal groups, patterns, and related multiplication facts to solve division facts accurately.

Lesson 17Not started🔒 Subscription required

Algebraic Reasoning and Problem Solving

Solve division problems with unknowns

I can solve one-step division problems with an unknown by using equal groups and related facts.

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Algebraic Reasoning and Problem Solving

Solve equations with a missing factor or quotient

I can use related facts to solve multiplication and division equations with a missing factor or quotient.

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Algebraic Reasoning and Problem Solving

Represent multiplicative comparisons

I can represent and explain statements such as “three times as many” with multiplication expressions and models.

Geometry and Measurement

Classify shapes and reason about area, perimeter, time, mass, and capacity.

1 lesson

Multiplication and Division

Use arrays and area models for multiplication

I can use arrays and area models to represent multiplication situations and write equations that match rows and columns.

Reviews and Advanced

Connect Grade 3 ideas through cumulative review, applications, patterns, and extensions.

1 lesson

Reviews and Assessments

Term 1 cumulative review and assessment

I can apply Term 1 place-value, computation, multiplication, division, and problem-solving skills in mixed challenges.

Term 2: January–April

Extend learning through fractions, geometry, measurement, data, and personal financial literacy.

29 lessons

Number and Operations

Develop place value, addition, subtraction, money, and fraction understanding.

9 lessons

Lesson 1Not startedFREE

Fractions

Understand unit fractions

I can understand a unit fraction as one equal part of a whole.

Fractions

Represent whole numbers as fractions

I can represent whole numbers as fractions with visual models and equations.

Fractions

Compose and decompose fractions

I can compose and decompose a fraction as a sum of unit fractions with the same denominator.

Fractions

Solve fair-share fraction problems

I can partition objects or sets fairly and represent each person’s share with a fraction.

Fractions

Locate fractions on a number line

I can read and explain fractions shown on a number line.

Fractions

Represent fractions on a number line

I can represent unit fractions and simple fractions on a number line.

Fractions

Generate and justify equivalent fractions

I can generate and justify equivalent fractions with objects, area models, and number lines.

Fractions

Compare fractions with the same numerator or denominator

I can compare fractions with the same numerator or the same denominator using visual models.

Lesson 9Not started🔒 Subscription required

Fractions

Partition shapes into equal areas

I can partition shapes into equal areas and name each part with a unit fraction.

Algebraic Reasoning

Use multiplication, division, properties, equations, tables, and patterns to reason.

1 lesson

Algebraic Reasoning and Problem Solving

Represent relationships with number pairs in tables

I can represent a real-world relationship with number pairs in a table and describe the rule in words.

Geometry and Measurement

Classify shapes and reason about area, perimeter, time, mass, and capacity.

9 lessons

Lesson 1Not startedFREE

Geometry, Area, and Perimeter

Analyze shared shape attributes

I can compare shapes and name attributes they share instead of describing only how they look.

Geometry, Area, and Perimeter

Classify quadrilaterals

I can classify quadrilaterals by using side and angle attributes instead of appearance alone.

Geometry, Area, and Perimeter

Understand area as covering

I can cover a shape with equal-size unit squares and describe the area as the number of square units with no gaps or overlaps.

Geometry, Area, and Perimeter

Model rectangle area with rows and columns

I can model the area of a rectangle with rows, columns, and unit squares.

Geometry, Area, and Perimeter

Find area of rectangles and composite rectangular figures

I can find the area of rectangles and composite rectangular figures by decomposing and adding areas.

Geometry, Area, and Perimeter

Find perimeter of polygons

I can find the perimeter of a polygon by tracing the boundary and adding the lengths of all sides.

Geometry, Area, and Perimeter

Find missing side lengths from perimeter

I can use a known perimeter and known side lengths to determine a missing side length.

Measurement and Time

Solve elapsed-time problems

I can solve elapsed-time problems by showing the start time, making time jumps, and adding the time that passes.

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Measurement and Time

Choose and use tools for capacity and weight

I can decide whether a situation involves capacity or weight and use an appropriate unit and tool to measure it.

Data Analysis

Create and interpret line plots, scaled graphs, data displays, and simple probability.

3 lessons

Lesson 1Not startedFREE

Data Analysis and Financial Literacy

Create frequency tables and dot plots

I can organize numerical data in a frequency table and represent it on a dot plot.

Data Analysis and Financial Literacy

Read and create scaled picture and bar graphs

I can read and create scaled picture graphs and bar graphs by using the key or scale to match each category value.

Data Analysis and Financial Literacy

Solve multi-step data problems

I can solve one-step and two-step problems from data displays by choosing the needed values and keeping track of each step.

Personal Financial Literacy

Connect work, income, scarcity, spending, credit, saving, and responsible decisions.

6 lessons

Data Analysis and Financial Literacy

Understand human capital, labor, and income

I can explain how skills, education, and labor connect to income.

Data Analysis and Financial Literacy

Explain how scarcity affects cost

I can explain how limited availability can affect the cost of a good or service.

Data Analysis and Financial Literacy

Evaluate planned and unplanned spending

I can compare the costs and benefits of planned and unplanned spending choices.

Data Analysis and Financial Literacy

Understand credit, repayment, and interest

I can explain that credit is borrowed money that must be repaid, usually with interest.

Data Analysis and Financial Literacy

Build a savings plan

I can identify a savings goal, make a plan, and explain how regular saving helps reach the goal.

Data Analysis and Financial Literacy

Make decisions about income, spending, saving, credit, and giving

I can evaluate choices involving income, spending, saving, credit, and charitable giving.

Reviews and Advanced

Connect Grade 3 ideas through cumulative review, applications, patterns, and extensions.

1 lesson

Reviews and Assessments

Term 2 cumulative review and assessment

I can apply Term 2 fraction, geometry, measurement, data, and financial-literacy skills in mixed challenges.

Bonus and Advanced

Apply Grade 3 ideas in cumulative challenges, patterns, symmetry, and probability.

4 lessons

Reviews and Advanced

Connect Grade 3 ideas through cumulative review, applications, patterns, and extensions.

4 lessons

Algebraic Reasoning and Problem Solving

Grade 3 cumulative application challenge

I can solve and justify mixed Grade 3 application problems using efficient tools and representations.

Algebraic Reasoning and Problem Solving

Identify arithmetic patterns

I can find the rule in a growing or shrinking arithmetic pattern and use the rule to continue the pattern.

Geometry, Area, and Perimeter

Reason about symmetry

I can decide whether a line makes two matching halves of a shape and explain why it is or is not a line of symmetry.

Data Analysis and Financial Literacy

Describe likelihood in simple experiments

I can use words such as impossible, unlikely, likely, and certain to describe what might happen in a simple experiment.