**Concept- Equality**

Three Act MathVideo Design by Jennifer Brokofsky and Ryan Banow

## Possible Curriculum Connections

**Grade 2**– P2.3 Demonstrate understanding of equality and inequality concretely and pictorially (0 to 100) by:

• relating equality and inequality to balance

• comparing sets

• recording equalities with an equal sign

• recording inequalities with a not equal sign

• solving problems involving equality and inequality.

[C, CN, R, V]

**Indicators**

b. Construct two unequal sets using identical objects and verify orally and concretely that the sets are not equal.

c. Analyze the impact of changing one of two equal sets upon the equality of the two sets.

d. Analyze the impact of making changes (equal and unequal) to both of two equal sets upon the equality of the sets.

e. Analyze and sort sets according to equality and explain the reasoning.

**Grade 2**– N2.2 Demonstrate understanding of addition (limited to 1 and 2-digit numerals) with answers to 100 and the corresponding subtraction by:

• representing strategies for adding and subtracting concretely, pictorially, and symbolically

• creating and solving problems involving addition and subtraction

• estimating

• using personal strategies for adding and subtracting with and without the support of manipulatives

• analyzing the effect of adding or subtracting zero

• analyzing the effect of the ordering of the quantities (addends, minuends, and subtrahends) in addition and subtraction statements.

[C, CN, ME, PS, R, V]

**Indicators**

c. Model concretely, pictorially, or physically situations that involve the addition or subtraction of 1 and 2-digit numbers (with answers to 100) and explain how to record the process shown in the model symbolically.

d. Generalize and apply strategies for adding and subtracting 1 and 2-digit numbers (with answers to 100).

e. Create, model symbolically (and concretely, pictorially, or physically if desired), and solve addition and subtraction problems related to situations relevant to one’s self, family, or community.

**Grade 4**– P4.2 Demonstrate an understanding of equations involving symbols to represent an unknown value by:

• writing an equation to represent a problem

• solving one step equations.

[C, ME, PS, R]

**Indicators**

c. Identify the unknown in a story problem, represent the problem with an equation, and solve the problem concretely, pictorially, or symbolically.

f. Solve a one-step equation using guess and test.

**Grade 5**– P5.2 Write, solve, and verify solutions of single-variable, one-step equations with whole number coefficients and whole number solutions.

[C, CN, PS, R]

**Indicators**

a. Identify aspects of experiences from one’s life, family, and community that could be represented by a variable (e.g., temperature, cost of a DVD, size of a plant, colour of shirts, or performance of a team goalie).

c. Solve single-variable equations with the variable on either side of the equation, explain the strategies used, and verify the solution.

## Act One- The Problem- **Video**

**Video**

Two children are trying to share candies equally. However, they only like to eat certain colours.

**Part 1**

**Part 2**

The ** key questions** that arise are:

- How many bags need to be opened so that the children get an equal amount of candies?
- How many candies will each child get when they are equal? (The video assumes that each bag contains the same candies as the first bag).

## Act Two- Classroom Connections

** Key questions** that the video will inspire are:

- How many bags need to be opened so that the children get an equal amount of candies?
- How many candies will each child get when they are equal? (The video assumes that each bag contains the same amount of candies as the first bag).

**What might the students need to acquire as they work to solve this problem?**

- Number and Colours of candies in 1 bag:
- Red- 10
- Yellow- 8
- Purple- 7
- Orange- 8
- Green- 8

- Number of bags in the bowl: 6

- Possible Equations:

Girl- Red + Yellow + some Green = x

Number of Bags(10 + 8) + some green = x

Boy- Purple + Orange + some Green = x

Number of Bags( 7+ 8) + some Green= x

## Act Three- The Solution- *Video*

The children need to open a second bag to reach equality. Equality is achieved when they each have a total of 41 candies.