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The Power of Exponents, Part 2

In these materials, students learn about exponents and roots as well as how to break numbers down and examine how they work. Part 2 focuses on (1) place value, powers of ten, and scientific notation; (2) powers of two and exponential growth; (3) variables and exponents; and (4) operations with exponents (multiplication, division, and raising a power to a power). Read More

The Power of Exponents, Part 1 – Introductory

In these materials, students learn about exponents and roots as well as how to break numbers down and examine how they work. Topics in part 1 include: (1) multiplication, including factors, multiples, and arrays; (2) characteristics of numbers, including factors, prime factorization, and finding common factors between numbers; (3) an introduction to exponents, square roots and cube roots, with connections to geometry; and (4) what it means when an exponent is 1 or less (fractional exponents, to the power of zero, and negative exponents).  Read More

The Power of Exponents, Part 1

In these materials, students learn about exponents and roots as well as how to break numbers down and examine how they work. Topics in part 1 include: (1) multiplication, including factors, multiples, and arrays; (2) characteristics of numbers, including factors, prime factorization, and finding common factors between numbers; (3) an introduction to exponents, square roots and cube roots, with connections to geometry; and (4) what it means when an exponent is 1 or less (fractional exponents, to the power of zero, and negative exponents).  Read More

Tools of Algebra: Expressions, Equations, & Inequalities, Part 2

Teachers can use these materials to help students develop algebraic reasoning and learn how to use algebra as a tool in problem-solving. Students also learn about mathematical symbols and how they are used. Part 2 focuses on (1) four different uses for variables in math; (2) how to combine like terms and solve equations using tape diagrams; (3) using variables in scientific and geometric formulas, including finding the volume of three-dimensional figures and the Pythagorean Theorem; (4) evaluating systems of equations through guess and check and matching systems of equations to real-life situations; and (5) understanding, solving, evaluating, and graphing inequalities. Read More

Tools of Algebra: Expressions, Equations, & Inequalities, Part 1

Teachers can use these materials to help students develop algebraic reasoning and learn how to use algebra as a tool in problem-solving. Students also learn about mathematical symbols and how they are used. Part 1 focuses on (1) mathematical equality; (2) how to evaluate equations and expressions and solve equations using visual models like area models, hanger diagrams, and balance scales; (3) the distributive property of multiplication and the order of operations; and (4) how to write equations to describe real-life situations. Read More

Two-Dimensional Geometry: Pythagorean Theorem

In these materials, student explore concepts in two-dimensional (2D) geometry and measurement, including: categorizing 2D shapes; measures and units of length (perimeter and circumference); measures and units of area; where the geometric formulas come from; the Pythagorean Theorem; and scale factors. Read More

Two-Dimensional Geometry: Shapes

In these materials, student explore concepts in two-dimensional (2D) geometry and measurement, including: categorizing 2D shapes; measures and units of length (perimeter and circumference); measures and units of area; where the geometric formulas come from; the Pythagorean Theorem; and scale factors. Read More

Two-Dimensional Geometry: Area

In these materials, student explore concepts in two-dimensional (2D) geometry and measurement, including: categorizing 2D shapes; measures and units of length (perimeter and circumference); measures and units of area; where the geometric formulas come from; the Pythagorean Theorem; and scale factors. Read More

Two-Dimensional Geometry: Perimeter

In these materials, student explore concepts in two-dimensional (2D) geometry and measurement, including: categorizing 2D shapes; measures and units of length (perimeter and circumference); measures and units of area; where the geometric formulas come from; the Pythagorean Theorem; and scale factors. Read More

Tools of Algebra: Linear Functions, Part 2

With these materials, students learn the concepts to flexibly create, interpret, and use linear functions. Part 2 focuses on (1) rate of change (also known as slope) in graphs, tables, and equations; (2) starting amount (also known as the y-intercept) in graphs, tables, and equations; and (3) applying all the concepts learned about linear functions to some real-life situations, including paying bills and tracking medical antibodies. Read More