Please note that our resources are currently being updated. There will be many, many new additions, including our engaging games and upgraded lessons, like an improved Stock Market unit and an Order of Operations board game.

Note: "WS" refers to "worksheet," "AS" refers to "answer sheet," and "TG" refers to "teaching guide."

Unit 1: The Fundamentals

Order of Operations (OOO)

This lesson is usually the first lesson taught to the Math Club students. It goes over basic order of operations, which is essential to know through the rest of the year. This lesson also comes with a Jeopardy-style game.

CA standards grades 2 to 4

Variables

This lesson is usually the second lesson taught to the Math Club students because it introduces variables, which is utilized throughout to teach various mathematical concepts, laws, and graphing. They are fundamental in algebra.

CA standards 4 to 6

Exponents

This lesson teaches students the concept of exponents and furthers the students' understanding of PEMDAS. Students practice using exponents to evaluate expressions and solve basic equations.

CA standards 5 to 6

Number Sense

This lesson teaches students the topics of rounding, estimation, and number sense. Students develop an intuition with the outcomes of multiplication and division, relative sizes of numbers, and proper rounding.

CA standards 2 to  3

Unit 2: Graphing and Lines

Connecting Dots

This lesson teaches students the basics of the Cartesian coordinate plane, introducing them to notation for graphing points and lines. Students learn important concepts of lines including slope and intercepts. The lesson prepares students for more complex work with graphs in the future.

CA standards 4 to 6

Slope

This lesson expands on the previous lesson by teaching students about the concept of slope. 

CA standards 5 to 6

Graphing

This lesson expands on the previous lesson by teaching students the basics of graphing lines and curves if students want a challenge. 

CA standards 5 to 6

Systems of Equations, Part 1

This lesson introduces to students the notion of a system of equations and the techniques to solve two-variable equations. Students learn the substitution method and practice solving simple systems.

CA standards 6 to 7

Systems of Equations, Part 2

After learning the basics of systems of equations in the Part 1 lesson, students are introduced to more solving techniques such as the elimination and equal-values methods. Students continue to practice solving more complex equations using a mix of all the methods they've learned.

CA standards 6 to 7

Unit: Probability and Statistics

Introduction to Probability

In this lesson, students learn the concept of probability and quantify examples of probability in daily life. Students learn unions, intersections, and counting methods to calculate probabilities.

CA standards 5 to 7

More Probability

In this lesson, students continue practicing the concepts of probability they've learned in previous lessons. Additionally, the concept of conditional probability is introduced. Students then practice problems involving a mix of independent and dependent events.

CA standards 5 to 7

Basic Statistics

This lesson teaches students the process of data collection and basic summary statistics. The lesson starts off with a class data-gathering activity and introduces the concepts of means, medians, modes. Advanced students are taught the Interquartile Range and Mean Absolute Deviation.

CA standards 5 to 7

Growth

In this lesson, the students learn many different types of growth, including linear, exponential, logarithmic, and sigmoidal graphs. The students learn to identify possible growth patterns in data. This lesson builds on the concepts of statistics taught before.

CA standards 5 to 7

Stock Market Game

This entire Probability and Statistics unit is complemented with a real-life application of the students' learnings: the stock market. Students trade stocks from a select list and compete to earn the highest profit at the end of the five weeks. 

Unit: Geometry

Pythagorean Theorem

Students first review squares and square roots, preparing them for the lesson. The students are then introduced to the Pythagorean Theorem and practice the theorem by solving practice triangles.

CA standards 5 to  7

All About Pi

Students first learn the history behind Pi and how to derive then using a circle. Then, students are introduced to calculations using Pi and application problems. 

CA standards  4 to 5

Intro to Perimeter, Area, and Volume (PAV)

Students learn the concept of perimeter, area, and volume and its usefulness in the real world. Students are introduced to application problems, and the lesson ends with a fun game show to test their knowledge!

CA standards  4 to 5

Circular Shapes!

Students learn about cylinders, cones, and spheres through multiple application problems aimed at finding the volume of them. Then, students do a fun game of Jeopardy to review their skills!

CA standards  4 to 5

Scaling and Dilations

Students learn the concept of scaling and dilations. Then, students experience a hands-on demonstration as tutors scale-up and scale-down various households objects. Then, students are given application problems to learn how to use this in the real-world. 

CA standards  4 to 5

Angles, Angles, Angles

Students learn all about angles through conceptual teaching and application problems

CA standards  4 to 5

Pascal's Triangle

This lesson is usually taught by a guest UC Davis professor. The professor introduces Pascal's triangle, explaining the formation and hidden characteristics. Students also learn simple concepts of combinatorics. There is no worksheet associated with this lesson. 

Fibonacci Sequence

After understanding Pascal's triangle, students are introduced to an interesting mathemical phenomenon: the Fibbonacci sequence. Prompted with many peculiarities and patterns of the sequence, students explore at their own pace the interesting characteristics of the numbers.

Infinity

In this lesson, students learn the concept of infinity and many of its characteristics. This lesson focuses on sparking students' own ideas on the topic and allows open exploration. Additionally, the idea of a "limit" is discussed.

Physics, Part 1

Towards the end of the year, students are introduced to the basic concepts of physics. In this introductory lesson, students learn about the concept of displacement and how it is different from distance. Students also review the topic of speed, working on practice problems to prepare them for the following Part 2 lesson.

Physics, Part 2

This Part 2 lesson covers the basics of Kinematics, building on what the students have learned in Part 1. Students are introduced to the new topics of velocity (and how it is different from speed), acceleration, and motion graphs. The students are given plenty of practice examples to help solidify these completely new concepts.

Rate Puzzles

This lesson introduces the concept of work done by explaining speed and time. Students apply this concept through problems centered on fun, Monsters Inc themed practice problems. 

Base Counting

This lesson introduces the unique concept of base counting. Students are introduced to different number systems and are then taught the application of this concept: computers. Then, students go through practice problems. 

Ciphers

This lesson introduces the fun concept of ciphers through a 'whodunit' mystery game. Additionally, a follow up game of Jeopardy solidifies the concept while keeping the students engaged!

Unit: Reviews

Mid-Semester Review

The following stations activities are two versions of  fun ways to review information from half of the first semester. 

Semester 1 Review Version 1

This is one version of a review given to students at the end of the semester to test their knowledge. The password is mathclub2022. 

Semester 1 Review Version 2

This is the second version of a review given to students at the end of the semester to test their knowledge. 

Semester 2 Review Version 1

This is one version of a cumulative review given to students at the end of the school year to test their knowledge. 

Semester 2 Review Version 2

This is one version of a cumulative review given to students at the end of the school year to test their knowledge. 

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