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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
Tools of Algebra: Linear Functions, Part 1
With these materials, students learn the concepts to flexibly create, interpret, and use linear functions. Part 1 focuses on (1) number patterns, repeating patterns, growing patterns, and visual patterns; (2) how to use input/output machines to understand the basic structure of functions; and (3) how functions can be represented in 4 connected ways. Read More
Math Instructional Routines for Adult Learners
From the Adult Numeracy Network, these Instructional Routines are accessible and challenging to all students, can be approached in multiple ways using different types of sense-making strategies, promote understanding through discussion, make student thinking visible, make math visual and encourage practice of mental math. Read More