Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Curated OER
Math Mediator Lesson 10: Slope
Students explore the concept of slope. In this Algebra I lesson, students investigate the definition of slope as rise over run or change in y compared to change in x. The lesson includes a real-world problem in which the height of high...
Curated OER
Graphing and the Coordinate Plane
Students learn about the Cartesian coordinate plane, understand the four quadrants of the Cartesian coordinate plane, and plot points on the plane. Students read coordinates for a point from a graph and give the ratio of rise over run...
Curated OER
Distance in Coordinate Geometry
Students analyze distance and graphing. In this geometry lesson, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.
Curated OER
Geometry Coordinates
In this geometry worksheet, 10th graders calculate ordered pairs using a table to plot the coordinate pairs to make a graph. There are 3 graphing question.
T. Smith Publishing
Easter Graphing Worksheet
A large graph takes up most of this worksheet. On it are Easter-themed icons for which learners must identify and write down the coordinates for. Note that there are religious symbols included in the icons which would not make this...
Pennsylvania Department of Education
Classifying Figures on the Coordinate Plane
Fifth graders use estimation to solve word problems. In this fractions instructional activity, 5th graders decide whether or not an answer to a work problem is reasonable by applying their knowledge of fractions, decimals and estimation....
Curated OER
Graphing Solution of a Quadratic and Linear System
In this algebra worksheet, students identify the systems of equation as quadratics or linear. They graph their solutions. There are 4 questions with an answer key.
Curated OER
Translating Graphs of Trig Functions
Students use degrees and compute the amplitude and period of twelve functions. They graph each function on an included coordinate grid.
Curated OER
Graphing Trigonometric Functions
The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.
Curated OER
Graphing Linear Equations
Students graph linear equations. In this algebra lesson plan, students solve linear equations and graph it on a coordinate plane. They evaluate integers using linear equations.
Curated OER
Straight Line Graphs
In this math worksheet, students plot lines on a graph paper when given the equation for the line in slope-intercept form. They tell the values of the slope and the y-intercept. Students find the x and y intercepts and plot three lines....
Curated OER
Graphing Linear Equations
In this math worksheet, students practice graphing the linear equations on the Cartesian plane. They also create a function table for each.
Curated OER
United States Population: Using Quadratic Models
In this United States population worksheet, students solve word problems about the United States population by using the quadratic formula. Students complete 6 problems.
Curated OER
Introduction Points
In this math activity, middle schoolers find the points on the Cartesian plane. The graphs use the color green and red to differentiate the positive and negative points.
Curated OER
Conics and Graphing
In this algebra worksheet, students solve equations by graphing an ellipse, circle and hyperbola. They match equations to graphs and define each type of function. There are 20 questions total.
Curated OER
Linear Equations
For this linear equations worksheet, students solve 9 different linear equations by applying the point-slope formula in each. First, they determine the linear equation of each. Then, students use the slope and one point of the line to...
Curated OER
Simplifying Expressions
In this simplifying expressions instructional activity, students solve and complete 41 various types of problems. First, they simplify each expression and write using exponents. Then, students graph each function and state the domain and...
Curated OER
Rotations (2)
In this graphing worksheet, 5th graders focus on rotations. Students use rotations of 90 degrees and 180 degrees to create 6 geometric figures that are represented.
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
EngageNY
Analytic Proofs of Theorems Previously Proved by Synthetic Means
Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....
BW Walch
Solving Systems of Linear Inequalities
One thing that puzzles a lot of young algebrists is the factors in a word problem that are taken as "understood". This presentation on solving systems of linear inequalities does a great job walking the learner through how to tease those...
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
Balanced Assessment
Catenary
Develop a model for a hanging chain. Pupils find a mathematical model for a hanging chain and then they compare their models to the precise function that models the curve. Scholars come up with a strategy to determine how close their...