Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
EngageNY
Recursive Formulas for Sequences
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of recursive formulas.
EngageNY
Correspondence and Transformations
Looking for a strategy to organize the information related to transformations? The materials ask pupils to identify a sequence of rigid transformations, identify corresponding angles and sides, and write a congruence statement. They...
Curated OER
Problem Solving: Draw a Diagram
This problem solving PowerPoint presents a detailed, logical sequence of steps to follow in order to solve a story problem. The thinking processes described are given in text and represented by a visual model. After discussing the...
Virginia Department of Education
Logic and Conditional Statements
If there is a conditional statement, then there is a hypothesis and conclusion. Pupils learn how to identify the parts of conditional statements. Class members continue to work with conditional statements and rewrite them in their many...
Curated OER
The Very Hungry Caterpillar
A good book deserves to be followed up by a good worksheet. Here is a great resource which is intended for use after reading The Very Hungry Caterpillar by Eric Carle. It includes several activity ideas that promote skill development in...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
Noyce Foundation
Tri-Triangles
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 3
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
Curated OER
The Games Robots Play
Students learn about how robots are programmed to play games. They then construct robot applications (basic computer codes) for playing tic-tac-toe comprised of if-then logic sequences. Students then compete in teams using their...
Curated OER
The Grouchy Ladybug
Pupils complete a Cirlce Map about time. They recall times during the grouchy ladybugs travels, and add dots on ladybugs using turn-around facts. Pupils correctly sequence the events of The Grouchy Ladybug. Students compose new...
Curated OER
Solving Problems and Puzzles 1
Plug in this presentation for a quick start to your day. The class reviews the 6 times tables how they relate to division and then work through patterns to build logical reasoning and sequencing skills. A wonderful warm up or problem...
EngageNY
Properties of Similarity Transformations
You can explain it, but can you do it? After learners view a sequence of transformations, the next logical step is creating the transformation. Challenge your classes to construct a composition of transformations and verify the...
Mathematics Vision Project
Probability
Probability, especially conditional probability, can be a slippery concept for young statisticians. Statements that seem self-evident on the surface often require a daunting amount of calculations to explicate, or turn out to be not so...
Curated OER
Brain Teaser - One, Two, Three
In this logic worksheet, learners solve a number problem using logic about the sequence of numbers 1, 2, and 3. Students complete 1 problem.
Curated OER
More Congruent Triangles
In this congruent triangles worksheet, 10th graders solve 6 various forms of problems that include a proof and a word problem. First, they draw and label triangles and indicate the additional pairs of corresponding parts that would have...
Curated OER
The Grandchildren Problem
In this grandchildren problem, students read facts about grandchildren. They use logical reasoning to determine the birthday of four grandchildren. Students predict the date of the fifth grandchild's birth. This one-page worksheet...
Math Stars
Math Stars: A Problem-Solving Newsletter Grade 6
Think, question, brainstorm, and make your way through a newsletter full of puzzles and word problems. The resource includes 10 different newsletters, all with interesting problems, to give class members an out-of-the box math experience.
Curated OER
I Have A Friend Who
In this friend worksheet, students use logic and reasoning to determine the characteristics of a person. This one-page worksheet contains 1 problem. The answer is provided.
Virginia Department of Education
Inductive and Deductive Reasoning
Introduce pupils to the two types of reasoning, inductive and deductive. Classmates work in pairs or small groups to learn the difference between the two and apply these reasonings to develop valid conclusions.
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Alabama Learning Exchange
Pattern and Practice
Young scholars learn how to make patterns. Students first display their prior knowledge of patterns before delving into the lesson. They complete a worksheet and participate in a web-based class activity. They work in cooperative groups...
Curated OER
Challenge Your Middle Schoolers with Mathematical Strategy Games!
Help learners develop the ability to think logically and mathematically, in a really fun and engaging way.
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