Category: General Discussion

It’s April and there’s no fooling anyone: spring is in full bloom! We are in the homestretch of the school year and are getting ready to finish up our courses and begin reviewing for end-of-year assessments. We still have some new materials to make teaching easier for teachers, so let’s get at them in our latest blog post:

N-Gen Math 6:

• Unit 10 (Solids) – Practice with the Volume of Right Rectangular Prisms. This is a nice set of problems that gives students a lot of practice calculating volumes, especially of prisms that have sides with fractional lengths.
• Unit 11 (Statistics) – Mid-Unit Quiz – Form B.
• Unit 11 (Statistics) – Practice Creating Histograms. In this worksheet, students summarize data sets visually using histograms. In some problems, students decide if the x-axis needs and axis break and an appropriate scale for the x-axis.
• Spanish Language Versions of the Unit 11 Mid-Unit Quiz (Form A only) and Exit Tickets.

N-Gen Math 7:

• Unit 10 (Geometric Measurement) – Mid-Unit Quiz – Form B.
• Unit 10 (Geometric Measurement) – Practice with Volumes of Prisms. This worksheet gives students practice with calculating the volumes of right prisms. Bases have shapes of both parallelograms and right triangles.
• Spanish Language Versions of the Unit 10 Mid-Unit Quiz (Form A only) and Exit Tickets.

N-Gen Math 8:

• Unit 10 (Scientific Notation) – Mid-Unit Quiz – Form B.
• Unit 10 (Scientific Notation) – Practice with Applying Scientific Notation. This is a wonderful worksheet full of problems that ask students to use scientific notation in real-world situations. Examples include the number of people worldwide that have green eyes and the unit rate of donuts consumed in the United States.
• Unit 11 (Systems of Equations) – Mid-Unit Quiz – Form B.
• Spanish Language Versions of the Unit 10 and Unit 11 Mid-Unit Quiz (Form A only) and Exit Tickets.

N-Gen Math Algebra I:

• Unit 10 (Functions and Their Transformations) – Unit Assessment – Form B.
• Unit 10 (Functions and Their Transformations) – Mid-Unit Quiz – Form A.

N-Gen Math Geometry:

• Unit 9 (Circle Geometry) – Unit Assessment – Form A.
• Unit 9 (Circle Geometry) – Exit Tickets
• Unit 9 (Circle Geometry) – Tangent Circles Exploration. In this exploration, students see how for every triangle, there are three mutually tangent circles that can be constructed. This activity not only illustrates another remarkable connection between triangles and circles, but also reinforces the construction of the incircle for any triangle.

Common Core Algebra II:

• Unit 12 (Probability) – Practice with Adding Probabilities. This worksheet gives students a plethora of problems to reinforce how probabilities add in “or” probability/counting scenarios. Through various applied problems, students solve for all parts of the addition probability rule.

Thanks for checking out April 2024’s New Teacher Tools — we hope they help!

Winter is still holding on here in New York (barely), but eMATHinstruction is heating up with new add-ons and new courses. We are excited to release our updated version of Algebra II (N-Gen Math Algebra II) in the late spring and will, of course, continue to release new materials for each of our active courses through May of this year. Here are this month’s new resources — have at ’em!

N-Gen Math 6:

• Unit 8 (Percent) – Mid-Unit Quiz – Form B
• Unit 8 (Percent) – Practice with Everyday Percent Problems. This worksheet gives students great practice calculating percentages based on finding 10% of a number and then scaling up (for 20%, 30%, etc.) or scaling down (for 5%). Practical application problems are emphasized.
• Unit 9 (Area) – Mid-Unit Quiz – Form B
• *Spanish Language Versions of the Unit 8 and Unit 9 Mid-Unit Quiz (Form A only) and Exit Tickets

N-Gen Math 7:

• Unit 8cc (Common Core Probability) – Mid-Unit Quiz – Form B
• Unit 8cc (Common Core Probability) – Practice with Simulating a Compound Event. In this worksheet, students use random number generators to simulate the probability of getting a certain number of good night sleeps in a workweek.
• *Spanish Language Versions of the Unit 8cc Mid-Unit Quiz (Form A only) and Exit Tickets

N-Gen Math 8:

• Unit 6cc (Common Core Functions) – Practice with Linear Functions. In this worksheet, students get practice creating linear functions, working with linear functions, and interpreting linear functions. All exercises are applied.
• Unit 7 (Exponents and Roots) – Mid-Unit Quiz – Form B
• Unit 7 (Exponents and Roots) – Practice with Exponent Properties. This worksheet gives students ample practice with negative exponents, the zero exponent, and the three basic exponent properties.
• *Spanish Language Versions of the Unit 7 Mid-Unit Quiz (Form A only) and Exit Tickets.

N-Gen Math Algebra I:

• Unit 8 (Quadratic Functions) – Unit Assessment – Form B
• Unit 8 (Quadratic Functions) – Mid-Unit Quiz – Form A

N-Gen Math Geometry:

• Unit 7 (Dilations and Similarity) – Unit Assessment – Form A
• Unit 7 (Dilations and Similarity) – Exit Tickets
• Unit 7 (Dilations and Similarity) – Partitioning a Side with an Angle Bisector. In this extended activity, students explore what happens when a side of a triangle is partitioned by an angle bisector. This activity gets kids to make conjectures based on measurement, use their knowledge of constructions, and finally has students prove their conjecture by the use of a similarity proof.

Common Core Algebra II:

• Unit 9 (Complex Numbers) – Practice with Complex Number Arithmetic. In this worksheet, students get ample practice adding, subtracting, and multiplying complex numbers. They also get reinforcement that sometimes these calculations result in purely real or purely imaginary numbers.
• Unit 10 (Polynomial and Rational Functions) – Practice with the Factored Form of a Polynomial. This worksheet gives students great practice forming equations of polynomials based on their zeros and an additional point. Some work with double zeros is also included.

CHECK BACK HERE EACH MONTH OF THE SCHOOL YEAR FOR NEW TEACHER TOOLS TO MAKE TEACHING EASIER!

A new (calendar) year is here. Happy beginning to 2024!!! We are deep into the winter and even deeper into the school year. We’ve been busy over the holidays creating new materials for you hardworking teachers to use in your classrooms — enjoy!

N-Gen Math 6:

• Unit 7 (Ratios and Rates) – Mid-Unit Quiz – Form B
• Unit 7 (Ratios and Rates) – Practice with Unit Rates. This worksheet gives students valuable practice with taking information given about two variables and producing unit rates. Work with both fractions and decimals is included.
• *Spanish Language Versions of the Unit 7 Mid-Unit Quiz (Form A only) and Exit Tickets

N-Gen Math 7:

• Unit 7cc (Common Core Statistics) – Practice with Mean as a Balancing Point. In this worksheet, students use the fact that the mean must balance distances that the data are above and below it to solve a variety of problems.
• Unit 8 (Probability) – Mid-Unit Quiz – Form B
• Unit 8 (Probability) – Practice with Simulating a Compound Event. In this worksheet, students use random number generators to simulate the probability of getting a certain number of good night sleeps in a workweek.
• *Spanish Language Versions of the Unit 8 Mid-Unit Quiz (Form A only) and Exit Tickets

N-Gen Math 8:

• Unit 6 (Functions) – Practice with Linear Functions. In this worksheet, students get practice creating linear functions, working with linear functions, and interpreting linear functions. All exercises are applied.
• Unit 6cc (Common Core Functions) – Mid-Unit Quiz – Form B
• *Spanish Language Versions of the Unit 6cc Mid-Unit Quiz (Form A only) and Exit Tickets.

N-Gen Math Algebra I:

• Unit 7 (Polynomials) – Unit Assessment – Form B
• Unit 7 (Polynomials) – Mid-Unit Quiz – Form A

N-Gen Math Geometry:

• Unit 6 (Quadrilaterals) – Unit Assessment – Form A
• Unit 6 (Quadrilaterals) – Exit Tickets
• Unit 6 (Quadrilaterals) – Constructing Quadrilaterals. In this extended activity, students combine their knowledge of constructions with the sufficient conditions for a variety of special quadrilaterals to construct them. Although these constructions are not required, they give students a great chance to reinforce important skills from constructions and essential knowledge from quadrilaterals.

Common Core Algebra II:

• Unit 8 (Quadratic Functions and Their Algebra) – Practice with Completing the Square Versus the Quadratic Formula. In this worksheet, students solve quadratic equations using both completing the square and the quadratic formula. By comparing the two solution methods, students get better and identifying when one technique is easier than the other to solve a quadratic equation.

Happy Holidays to all of our teachers and students out there! As the days get shorter and the nights longer (which is well modeled using trigonometric functions), here at eMATHinstruction we are sending out some end-of-the-calendar-year additions to our courses to make the season bright!

N-Gen Math 6:

• Unit 6 (Equations and Inequalities) – Mid-Unit Quiz – Form B
• Unit 6 (Equations and Inequalities) – One-Step Equation Practice. Equation solving is new to sixth grade students. This worksheet gives them additional practice in both multiple choice and free response problems to solve one-step equations using inverse operations.
• *Spanish Language Versions of the Unit 6 Mid-Unit Quiz (Form A only) and Exit Tickets

N-Gen Math 7:

• Unit 7 (Statistics) – Practice with Statistical Measures. In this worksheet, students take unsorted data lists, sort them, and then find various statistical measures for the sorted list.
• Unit 7 (Statistics) – Mid-Unit Quiz – Form B
• Unit 7cc (Statistics) – Mid-Unit Quiz – Form B
• *Spanish Language Versions of the Unit 7 and Unit 7cc Mid-Unit Quiz (Form A only) and Exit Tickets

N-Gen Math 8:

• Unit 5 (Equations of Lines) – Mid-Unit Quiz – Form B
• Unit 5 (Equations of Lines) – Finding the Equation of a Line Given Two Points. This worksheet walks students through the process of finding the equation of a line if two points on the line are known.
• Unit 6 (Functions) – Mid-Unit Quiz – Form B
• *Spanish Language Versions of the Unit 5 and Unit 6 Mid-Unit Quiz (Form A only) and Exit Tickets.

N-Gen Math Algebra I:

• Unit 6 (Exponential Algebra and Functions) – Unit Assessment – Form B
• Unit 6 (Exponential Algebra and Functions) – Mid-Unit Quiz – Form A

N-Gen Math Geometry:

• Unit 5 (Coordinate Geometry) – Unit Assessment – Form A
• Unit 5 (Coordinate Geometry) – Exit Tickets
• Unit 5 (Coordinate Geometry) – Finding the Circumcenter. In this extended activity, students find the circumcenter of a triangle using coordinate geometry.

Common Core Algebra II:

• Unit 7 (Transformation of Functions) – Practice Finding Formulas for Transformed Functions. This worksheet gives students practice taking a parent function and finding its equation after being put through the various types of transformations that we’ve studied in Common Core Algebra II.

Happy Fall, y’all! The weather is getting colder and the colors more spectacular, at least here in the Northeast. We have lots of new resources to share — as always, we hope they help make teaching math a little easier. (Btw, the new Geometry course and new Spanish language versions of some of our middle school materials are indicated by *** below).

N-Gen Math 6:

• Unit 3 (Decimals) – Practice with Decimal Word Problems. This is a good set of problems that gives students practice using various operations with decimals to solve real-world problems.
• Unit 4 (Negative Numbers) – Mid-Unit Quiz – Form B
• Unit 4 (Negative Numbers) – Practice with Ordering Signed Numbers. This worksheet has students think about where various negative and positive numbers fall on number lines. Students also compare various signed numbers using greater than or less than symbols.
• ***Spanish Language Versions of the Unit 4 Mid-Unit Quiz (Form A only) and Exit Tickets

N-Gen Math 7:

• Unit 4 (Percent) – Practice Finding Percent, Part, and Whole. In this worksheet, students get additional practice both in standard and applied problems calculating percent, finding a part, and finding a whole in the standard percentage relationship.
• Unit 4 (Percent) – Mid-Unit Quiz – Form B
• Unit 5 (Linear Expressions) – Mid-Unit Quiz – Form B
• ***Spanish Language Versions of the Unit 4 and Unit 5 Mid-Unit Quiz (Form A only) and Exit Tickets

N-Gen Math 8:

• Unit 3 (Transformations) – Mid-Unit Quiz – Form B
• Unit 3 (Transformations) – Practice with Angles of a Triangle. This worksheet is a nice collection of numerical and algebraic problems that rely on the relationships between the interior and exterior angles of a triangle.
• ***Spanish Language Versions of the Unit 3 Mid-Unit Quiz (Form A only) and Exit Tickets.

N-Gen Math Algebra I:

• Unit 4 (Linear Functions) – Unit Assessment – Form B
• Unit 4 (Linear Functions) – Mid-Unit Quiz – Form A

***N-Gen Math Geometry:

• Unit 3 (Euclidean Triangle Geometry) – Unit Assessment – Form A
• Unit 3 (Euclidean Triangle Geometry) – Exit Tickets
• Unit 3 (Euclidean Triangle Geometry) – Triangle Inequality Exploration Activity. In this extended exploratory activity, students try to predict the number of integer lengths that the third side of a triangle can have based on two integer sides given.

Common Core Algebra II:

• Unit 4 (Exponential and Logarithmic Functions) – General Logarithm Practice. This set of problems gives students more practice with various aspects of logarithms, including their inverse nature with exponential functions and the basic log laws.
• Unit 5 (Sequences and Series) – Arithmetic and Geometric Sequence Practice. This worksheet is a nice collection of problems that only deals with arithmetic and geometric sequences (not series). Students translate between explicit and recursive definitions of these two types of sequences as well as predicting a given term of the sequence given various pieces of information.