This lesson unit is intended to help teachers assess how well students: are able to use frequency graphs to identify a range of measures and make sense of this data in a real-world context; and understand that a large number of data points allow a frequency graph to be approximated by a continuous distribution.

This lesson unit is intended to help teachers assess how well students are able to interpret data using frequency graphs and box plots. In particular this unit aims to identify and help students who have difficulty figuring out the data points and spread of data from frequency graphs and box plots. It is advisable to use the lesson: Representing Data 1: Frequency Graphs, before this one.

This lesson unit is intended to help teachers assess how well students are able to translate between graphs and algebraic representations of polynomials. In particular, this unit aims to help you identify and assist students who have difficulties in: recognizing the connection between the zeros of polynomials when suitable factorizations are available, and graphs of the functions defined by polynomials; and recognizing the connection between transformations of the graphs and transformations of the functions obtained by replacing f(x) by f(x + k), f(x) + k, -f(x), f(-x).

This lesson unit is intended to help teachers assess how well students are able to: recognize and visualize transformations of 2D shapes; and translate, reflect and rotate shapes, and combine these transformations. It also aims to encourage discussion on some common misconceptions about transformations.

This lesson unit is intended to help teachers assess how well students are able to solve problems involving area and arc length of a sector of a circle using radians. It assumes familiarity with radians and should not be treated as an introduction to the topic. This lesson is intended to help teachers identify and assist students who have difficulties in: Computing perimeters, areas, and arc lengths of sectors using formulas and finding the relationships between arc lengths, and areas of sectors after scaling.

This lesson unit is intended to help teachers assess how well students are able to solve a real-world modeling problem. There are several correct approaches to the problem, including some that involve proportional relationships.

This lesson unit is intended to help teachers assess how well students are able to identify and use geometrical knowledge to solve a problem. In particular, this unit aims to identify and help students who have difficulty in: making a mathematical model of a geometrical situation; drawing diagrams to help with solving a problem; identifying similar triangles and using their properties to solve problems; and tracking and reviewing strategic decisions when problem-solving.

This lesson unit is intended to help teachers assess how well students are able to: solve linear equations in one variable with rational number coefficients; collect like terms; expand expressions using the distributive property; and categorize linear equations in one variable as having one, none, or infinitely many solutions. It also aims to encourage discussion on some common misconceptions about algebra.

This lesson unit is intended to help teachers assess how well students are able to formulate and solve problems using algebra and, in particular, to identify and help students who have the following difficulties: solving a problem using two linear equations with two variables; and interpreting the meaning of algebraic expressions.

This lesson unit is intended to help teachers assess how well students are able to solve quadratics in one variable. In particular, the lesson will help teachers identify and help students who have the following difficulties: making sense of a real life situation and deciding on the math to apply to the problem; solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring; and interpreting results in the context of a real life situation.

This lesson unit is intended to help teachers assess how well students are able to: interpret a situation and represent the variables mathematically; select appropriate mathematical methods to use; explore the effects of systematically varying the constraints; interpret and evaluate the data generated and identify the break-even point, checking it for confirmation; and communicate their reasoning clearly.

This lesson unit is intended to help teachers assess how well students are able to: recognize the differences between equations and identities; substitute numbers into algebraic statements in order to test their validity in special cases; resist common errors when manipulating expressions such as 2(x Đ 3) = 2x Đ 3; (x + 3)_ = x_ + 3_; and carry out correct algebraic manipulations. It also aims to encourage discussion on some common misconceptions about algebra.

This lesson unit is intended to help teachers assess how well students are able to: form and solve linear equations involving factorizing and using the distributive law. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using variables to represent quantities in a real-world or mathematical problem and solving word problems leading to equations of the form px + q = r and p(x + q) = r.

This lesson unit is intended to help you assess how well students are able to: recognize and use common 2D representations of 3D objects and identify and use the appropriate formula for finding the circumference of a circle.

This lesson unit is intended to help teachers assess how well students are able to understand and use directed numbers in context. It is intended to help identify and aid students who have difficulties in ordering, comparing, adding, and subtracting positive and negative integers. Particular attention is paid to the use of negative numbers on number lines to explore the structures: starting temperature + change in temperature = final temperature final temperature Đ change in temperature = starting temperature final temperature Đ starting temperature = change in temperature.

Explore Algebraic Expressions in this free video unit. It is comprised of 6 lessons with 4-7 short videos in each lesson. Featuring the reasoning of Grade 9 students, the unit explores how to generalize arithmetic to algebra and relate algebraic symbols to their meaning in context. The videos provide a foundation for the Common Core State Standards about equivalent forms of functional relationships. Showing these videos is great for helping students develop meaning for algebraic expressions beyond symbol manuipulation. 

Explore Binomials in this free video unit. It is comprised of 6 lessons with 7-8 short videos in each lesson. Featuring the reasoning of Grade 10 students, the unit moves beyond the procedure of FOIL by exploring the “why” behind multiplication of binomials. The videos provide a foundation for the Common Core State Standards about performing operations on polynomials. Showing these videos can help students become more comfortable operating binomials by grounding the operations in real-world contexts. 

Explore Exponentials in this free video unit. It is comprised of 7 lessons with 4-7 short videos in each lesson. Featuring the reasoning of Grade 8 students, the unit explores generalizing and graphing exponential functions through the use of a dynamic applet. Show these videos to help students visualize exponential growth in a real-world context and make sense of fractional exponents. 

Explore Logarithms in this free video unit. It is comprised of 6 lessons with 4-7 short videos in each lesson. Featuring the reasoning of Grade 8 students, the unit explores exponential and logarithmic properties and their relationship. The videos provide a foundation for the Common Core State Standards about understanding the inverse relationship between exponents and logarithms. Showing these videos may help teachers that want to help students move fluently between exponential and logarithmic expressions.  

Explore Proportions in this free video unit. It is comprised of 7 lessons with 4-6 short videos in each lesson. Featuring the reasoning of Grade 6 students, the unit explores how to form and iterate ratios through the use of a dynamic applet. The videos provide a foundation for the Common Core State Standards about using ratios and rates to solve math problems. Showing these videos are helpful for teachers who want to move students from reasoning additively to forming multiplicative comparisons.