options: Use polynomial identities to solve problems.

Create equations that describe numbers or relationships

Solve equations and inequalities in one variable.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Understand the relationship between zeros and factors of polynomials.

Write expressions in equivalent forms to solve problems.

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

Gain familiarity with factors and multiples.

Reason about and solve one-variable equations and inequalities.

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

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

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

Use properties of operations to generate equivalent expressions.

Solve systems of equations.

Use the four operations with whole numbers to solve problems.

Rewrite rational expressions.

Analyze patterns and relationships.

Represent and solve equations and inequalities graphically.

Perform arithmetic operations on polynomials.

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

Write and interpret numerical expressions.

Work with addition and subtraction equations.

Add and subtract within 20.

Multiply and divide within 100.

Generate and analyze patterns.

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

Represent and solve problems involving addition and subtraction.

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

Interpret the structure of expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Work with radicals and integer exponents.

Represent and solve problems involving multiplication and division.

Work with equal groups of objects to gain foundations for multiplication.

Understand the connections between proportional relationships, lines, and linear equations.
problem_activity: Problem 1
Quiana measures the width of her doorway entrance using a measuring tape. She measures the width as 33 inches. She later finds a better tape measure that measures to the nearest half of an inch. After re-measuring, she determines that the actual measure of the doorway is 32 ½ inches.
a.   What is the amount of error from using the first measuring tape?
b.   What is the error as a percentage of the actual width?
Problem 2
Paul and Kimberly both estimate the weight of their dogs before bringing them to the vet. The table below shows each of their estimates along with the actual weights of the dogs from the vet’s office.
|                | **           Estimate (lbs.)          ** | **           Actual (lbs.)          ** |
|----------------|------------------------------------------|----------------------------------------|
|   Paul's dog   |                    10                    |                  11.5                  |
| Kimberly's dog |                    84                    |                  82.5                  |
Paul notices that both his and Kimberly’s estimates were only 1.5 pounds off from the actual weights. Paul says that means his estimate was as good as Kimberly’s estimate.
Do you agree with Paul? Find the percent error for each person’s guess of their dog’s weight, and use it in your answer.
Problem 3
In science class, Justine measured a rock sample and found it to be 15 grams. Her teacher told her that the scale is off and the actual weight is 0.3 grams more than her measurement.
What is the percent error? Give your answer to the nearest percent.


correct_option_index: 25