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Converting Products to a Smaller Product and Sum: Splitting

Whole Numbers

Place value tables up to 999

Place Value Tables — Up to 999

Place Value Tables of Multi-Digits

Place Value Tables — Multi-Digit

Identifying the Place Value of a Digit

Place Value of a Digit — Multi-Digits

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Expanded Form of Multi-Digits

Place Values in Expanded Form — Up to 10K

Place Values in Expanded Form — Up to 999

Reading and Writing Digits

Reading and Writing Digits — Up to 20

Reading and Writing Digits — Up to 99

Place Value Models of Multi-Digits

Comparing Values of Multi-Digits

Place Value Comparing Numbers — Up to 999

Place Value Word Problems of Multi-Digits

Place Value Word Problems — Up to 10K

Place Value Word Problems — Up to 999

Equalities and Inequalities

Addition Facts Up to 1000

Identifying the Missing Digits (Addition)

Fill in the Blank — Up to 1000

Identifying the Missing Digits (Subtraction)

Subtraction Tables Up to 1000

Data Collection and Organization

Collecting data

Data Visualization

Creating graphs

Bar graphs

Pictographs

Data Analysis

Analyzing data word problems

Probability

Probability word problems

Understanding probability

Simple probability experiments

Predicting outcomes

Geometric Reasoning

Sorting 3D shapes by a single attribute

Composing 3D shapes

Identify 2D shapes in 3D shapes

3D shapes

Attributes of 3D shapes

Location and Movement

Flip, turn and slide

Navigating spaces in grids

Position and direction

Length Mass and Capacity

Measuring lengths

Estimating lengths

Measuring lengths using a ruler

Measuring weight

Measuring capacity

Comparing weight and capacity

Estimating weight and capacity

Time

Reading the clock

Reading time

Reading and writing time

Fractions

Equivalent Fractions

Introduction to Fractions

Fractions - Region, Sets & Linear Models

Fractions - Pictorial Representations

Fractions - Equal Partition

Fractions - Word Problems

Area

Sort 2D Shapes by attribute

Composing and decomposing 2D Shapes

Sides and corners of 2D shapes

Comparing 2D and 3D shapes

Money Concepts

Estimating sums

Estimating differences

Simple transactions

Value of a coin

Equivalent money combinations

Making change

Properties and Relationships

Turnarounds

Array Turnarounds — Up to 99

Relating division and multiplication up to 99

Division Relating to Multiplication — Up to 2 Digits

Multiplication Properties

Converting Products to a Smaller Product & Sum

Multiplying with 3 Numbers Or More

Multiplication of Three or More Numbers

Relating Multiplication with Division Up to 999

Relating Multiplication with Division

Math Facts

Multiplying digits with 5 and 10 up to 99

Multiplication by 5s and 10s — Up to 2 Digits

Multiplying Digits with 5 and 10 Up to 999

Multiplication by Five or Ten — Up to 100

Times Tables

Multiplication Times Table — Up to 2 Digits

Division Tables Up to 999

Division Tables — Up to 100

Division Tables — Up to 200

Mental Math

Addition using Estimation

Add By Estimation — Up to 1000

Simplifying Addition by Making 10s

Making Tens to Add

Addition using Mental Strategies

Adding by Jumping Up to 1000

Subtraction using Mental Strategies

Subtracting by Jumping Up to 1000

Subtraction using Estimation

Subtract By Estimation — Up to 1000

Addition and Subtraction

Adding with Digits Up to 1000

Add By Digits — Up to 1000

Addition with Regrouping Up to 1000

Add By Regrouping — Up to 1000

Using Models to Add Up to 1000

Addition Word Problems Up to 1000

Addition Word Problems — Up to 1000

Addition Word Problems — Up to 200

Subtracting with Digits Up to 1000

Subtract By Digits — Up to 1000

Subtraction with Regrouping Up to 1000

Subtract with Regrouping — Up to 1000

Subtraction Word Problems Up to 1000

Subtraction Word Problems — Up to 1000

Multiplication and Division

Counting equal groups up to 99

Equal Groups — Up to 2 Digits

Groups and arrays up to 99

Repeated addition as multiplication up to 99

Repeated Addition As Multiplication — Up to 99

Multiplying by skip counting up to 99

Multiplication By Skip Counting — Up to 2 Digits

Sharing & partition up to 99

Sharing and Partitioning — Up to 2 Digits

Dividing with digits up to 99

Division By Digits — Up to 2 Digits

Dividing with fractions using arrays

Division By Fractions — Up to 2 Digits

Patterns

Number Patterns with Adding Rules

Number Patterns with Subtraction Rules

Identifying patterns

Creating growing patterns

Extending patterns

Creating patterns

Patterns with objects

Variables

Translating patterns

Assignments

Challenge Zone

Foundation Review

EQAO Grade 3 Math

Number

Data

Spatial Sense

Financial Literacy

math

This lesson shows how to convert a product into a smaller product and sum by breaking one factor apart, an approach based on the distributive property. Using array models and step-by-step worked examples, students learn to turn a hard multiplication fact into two easier ones and add the results.

Converting Products to Sums | StudyPug

Break one factor of a multiplication fact into two friendlier addends, such as writing 8 as 5 + 3.
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Multiply each smaller addend by the other factor to create two easier products.
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Add the two smaller products together to find the original product, following \( a \times (b+c) = a \times b + a \times c \).
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Use an array or area model to see why splitting a product this way always gives the same total.
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Apply this splitting strategy to check answers found through repeated addition or standard multiplication.

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Overview

Converting Products to a Smaller Product and Sum

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Learning resources