EngageNY
Sampling Variability in the Sample Proportion (part 1)
Increase your sample and increase your accuracy! Scholars complete an activity that compares sample size to variability in results. Learners realize that the greater the sample size, the smaller the range in the distribution of sample...
EngageNY
Margin of Error When Estimating a Population Proportion (part 1)
Use the power of mathematics to find the number of red chips in a bag — it's a little like magic! The activity asks learners to collect data to determine the percentage of red chips in a bag. They calculate the margin of error and...
EngageNY
Sampling Variability in the Sample Mean (part 1)
How accurate is data collected from a sample? Learners answer this question using a simulation to model data collected from a sample population. They analyze the data to understand the variability in the results.
EngageNY
Ruling Out Chance (part 1)
What are the chances? Teach your classes to answer this question using mathematics. The first part of a three-day instructional activity on determining significance differences in experimental data prompts learners to analyze the...
EngageNY
Four Interesting Transformations of Functions (Part 1)
Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...
EngageNY
Completing the Square (part 1)
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...
EngageNY
Representing, Naming, and Evaluating Functions (Part 1)
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range.
Curated OER
Algebra Tic-Tac-Times
Use the strategy of working backwards to practice factoring polynomials and multiplying binomials in a game format. Play, and work to find which products combined with the available factors will result in the placement of four tokens in...
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
EngageNY
Modeling Riverbeds with Polynomials (part 1)
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
EngageNY
Margin of Error When Estimating a Population Mean (part 1)
We know that sample data varies — it's time to quantify that variability! After calculating a sample mean, pupils calculate the margin of error. They repeat the process with a greater number of sample means and compare the results.
EngageNY
Probability Rules (part 1)
In statistics, probability rules—literally! Learners use their previous knowledge and explore a set of rules for conditional probability, independent probability, and complements. Given different scenarios, they must determine what type...
EngageNY
Drawing a Conclusion from an Experiment (part 1)
Challenge your classes to complete an experiment from beginning to end. Learners make their own hypotheses, collect and analyze their own data, and make their own conclusions. They are on their way to becoming statisticians!
EngageNY
Modeling with Quadratic Functions (part 1)
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
Virginia Department of Education
Arithmetic and Geometric Sequences
Future mathematicians learn about arithmetic and geometric sequences, as well as common ratios and differences as they complete a worksheet matching sequences with the algebraic expressions that represent them.
EngageNY
Writing Division Expressions
Express division using different expressions. Individuals learn to write division expressions both with and without the division symbol in the 13th lesson of a 36-part series. They consider both numerical and algebraic expressions...
Virginia Department of Education
Properties of Operations
Explore the definitions of algebraic properties through a hands-on activity. Individuals cut and paste examples and match them to the correct properties. After examining the provided examples, pupils create examples of their own.
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
EngageNY
Read Expressions in Which Letters Stand for Numbers
Pencil in the resource on writing verbal phrases into your lesson plans. The 15th installment of a 36-part module has scholars write verbal phases for algebraic expressions. They complete a set of problems to solidify this skill.
EngageNY
Read Expressions in Which Letters Stand for Numbers II
Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...
Virginia Department of Education
Solving and Graphing Inequalities
You can't go wrong with a lesson plan that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with...
EngageNY
Linear Equations in Disguise
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the lesson...
EngageNY
Replacing Letters with Numbers
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The lesson focuses on expressions related to geometry, such as...
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