Writing products of repeated factors of powers.

Evaluate powers

Write and evaluate numerical expressions using the order of operations.

Write a number as a product of prime factors and represent the product using exponents. 

Finding the greatest common factor of two numbers. 

Finding the least common multiple of two numbers. 

How can understanding powers, prime factorization, and the order of operations help us solve problems involving factors, multiples, and numerical expressions efficiently?

Find products involving fractions and mixed numbers.

Compute quotients of fractions and solve problems involving division by fractions.

Compute quotients with mixed numbers and solve problems involving division with mixed numbers.

Add and subtract decimals and solve problems involving addition and subtraction of decimals.

Multiply decimals and solve problems involving multiplication of decimals.

Divide whole numbers and solve problems involving division of whole numbers.

Divide decimals and solve problems involving division of decimals.

How can understanding operations with fractions, mixed numbers, and decimals help us solve real-world problems involving numbers in different forms?

Understand the concepts of ratios and equivalent ratios.

Use ratio tables to represent equivalent ratios and solve ratio problems.

Represent ratio relationships in a coordinate plane.

Represent ratio relationships in a coordinate plane.

Understand the concept of a unit rate and solve rate problems.

Use ratio reasoning to convert units of measure.

How can understanding and using ratios help us compare quantities and solve real-world problems?

Write percents as fractions and fractions as percents.

Write percents as decimals and decimals as percents.

Compare and order fractions, decimals, and percents.

Find a percent of a quantity and solve percent problems.

How can understanding the relationships between fractions, decimals, and percents help us compare values and solve real-world problems involving percentages?

Evaluate algebraic expressions given values of their variables.

Write algebraic expressions and solve problems involving algebraic expressions.

Identify equivalent expressions and apply properties to generate equivalent expressions.

Apply the Distributive Property to generate equivalent expressions.

Factor numerical and algebraic expressions.

How can understanding and manipulating algebraic expressions help us represent and solve problems effectively in mathematics and real-life situations?

Write equations in one variable and write equations that represent real-life problems.

Write and solve equations using addition or subtraction.

Write and solve equations using multiplication or division.

Write equations in two variables and analyze the relationship between the two quantities.

How can understanding the properties of two- and three-dimensional shapes help us solve problems involving area, surface area, and volume in both mathematical and real-world contexts?

Find areas and missing dimensions of parallelograms

Find areas and missing dimensions of triangles, and find areas of composite figures.

Find areas of trapezoids, kites, and composite figures.

Describe and draw three dimensional figures.

Represent prisms using nets and use nets to find surface areas of prisms.

Represent pyramids using nets and use nets to find surface areas of pyramids.

Find volumes and missing dimensions of rectangular prisms.

How can we use geometric formulas and representations to find areas, surface areas, and volumes of two- and three-dimensional figures, and how can we apply this understanding to solve real-world problems involving missing dimensions and composite shapes?

Understand the concept of negative numbers and that they are used along with positive numbers to describe quantities.

Compare and order integers.

Compare and order rational numbers.

Understand the concept of absolute value.

Plot and reflect ordered pairs in all four quadrants of a coordinate plane.

Draw polygons in the coordinate plane and find distances between points in the coordinate plane.

Write inequalities and represent solutions of inequalities on number lines.

Write and solve inequalities.

How can understanding integers, rational numbers, absolute value, and inequalities help us describe, compare, and solve problems involving real-world and mathematical situations?

Identify statistical questions and use data to answer statistical questions.

Find and interpret the mean of a data set.

Find and interpret the median and mode of a data set.

Find and interpret the range and interquartile range of a data set.

Find and interpret the mean absolute deviation of a data set

How can we use data and statistics to answer questions and understand patterns in the world around us?

Display and interpret data in stem-and-leaf plots.

Display and interpret data in histograms

Describe and compare shapes of distributions.

Determine which measures of center and variation best describe a data set.

Display and interpret data in box-and-whisker plots.

How can different types of graphs and data displays help us understand and compare information?