options: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Work with addition and subtraction equations.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Understand solving equations as a process of reasoning and explain the reasoning.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and solve problems involving addition and subtraction.

Understand properties of multiplication and the relationship between multiplication and division.

Write and interpret numerical expressions.

Use the four operations with whole numbers to solve problems.

Represent and solve problems involving multiplication and division.

Represent and analyze quantitative relationships between dependent and independent variables.

Perform arithmetic operations on polynomials.

Gain familiarity with factors and multiples.

Solve systems of equations.

Generate and analyze patterns.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Understand and apply properties of operations and the relationship between addition and subtraction.

Use polynomial identities to solve problems.

Reason about and solve one-variable equations and inequalities.

Use properties of operations to generate equivalent expressions.

Multiply and divide within 100.

Add and subtract within 20.

Represent and solve equations and inequalities graphically.

Understand the connections between proportional relationships, lines, and linear equations.

Write expressions in equivalent forms to solve problems.

Solve equations and inequalities in one variable.

Understand the relationship between zeros and factors of polynomials.

Rewrite rational expressions.

Work with radicals and integer exponents.

Interpret the structure of expressions.

Analyze patterns and relationships.

Create equations that describe numbers or relationships

Work with equal groups of objects to gain foundations for multiplication.
problem_activity: Problem 1
Act 1: Watch the video
Gummy Worms
by Kyle Pearce.
a.   What do you notice? What do you wonder?
b.   How many gummy worms are there in total? Make an estimate.
Problem 2
Act 2: Use the following information to determine how many gummy worms there are in total.
[IMG]
There are 7 of each the yellow & black gummy worms and orange & black gummy worms left in the jar.
There are also 3 yellow & orange gummy worms left in the jar.
Problem 3
Act 3: There are 25 gummy worms in total. Was your answer reasonable? Why or why not?
Problem 4
Act 4 (sequel):
Mr. Pearce eats all of the gummy worms he took out of the jar and a few extra still in the jar. In total, he ate an equal number of each of the 3 colors of gummy worms, a total of 18 gummy worms. How many gummy worms does he have left of each color?


correct_option_index: 16