options: Solve systems of equations.

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

Reason about and solve one-variable equations and inequalities.

Analyze patterns and relationships.

Use the four operations with whole numbers to solve problems.

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

Write and interpret numerical expressions.

Gain familiarity with factors and multiples.

Represent and solve equations and inequalities graphically.

Multiply and divide within 100.

Add and subtract within 20.

Use polynomial identities to solve problems.

Use properties of operations to generate equivalent expressions.

Create equations that describe numbers or relationships

Represent and solve problems involving addition and subtraction.

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

Represent and solve problems involving multiplication and division.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Generate and analyze patterns.

Perform arithmetic operations on polynomials.

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

Write expressions in equivalent forms to solve problems.

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

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

Rewrite rational expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Solve equations and inequalities in one variable.

Work with radicals and integer exponents.

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

Understand the relationship between zeros and factors of polynomials.

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

Work with addition and subtraction equations.

Interpret the structure of expressions.
problem_activity: Problem 1
Two students are presented with the challenge of adding
$${2.5\times10^3}$$
and
$${1.3\times10^4}$$
. They have just learned how to multiply numbers in scientific notation, and they try out using similar strategies. They get two possible answers:
$${3.8\times10^4}$$
OR
$${3.8\times10^7}$$
a.   Explain or show to the students how both of the answers are incorrect.
b.   Why will the strategies used when multiplying numbers in scientific notation not work when adding?
c.   What are some strategies that can be used to solve this problem? Find the sum.
Problem 2
The Great Lakes are a series of freshwater lakes located on the US and Canadian border. Lake Superior has the greatest volume of water with
$${3.12\times10^{15}}$$
gallons of water. The smallest lake, by volume of water, is Lake Ontario with
$${4.26\times10^{14}}$$
gallons of water.
How many more gallons of water are in Lake Superior than in Lake Ontario?
Problem 3
A water molecule is made up of 2 hydrogen atoms and 1 oxygen atom, represented as H
2
O. One hydrogen atom has a mass of
$${1.7\times10^{-27}}$$
kg, and one oxygen atom has a mass of
$${2.7\times10^{-26}}$$
kg.
What is the total mass of a single water molecule?


correct_option_index: 28