7th Grade Math Full Year Curriculum~ Interactive~Fun~Licensed Teacher~Homeschool

This will be an engaging, hands on, seventh grade math class! We will learn new skills through slides, videos, lecture, partner work, and hands on activities. This is an ongoing class so each week is independent, meaning you can join at any time! We will often practice the material we learned that week with either a game or activity in class - each class has its own lesson with activities. I am a licensed teacher, and I have always loved teacher math! I also love to get to know the students in my class and allow them to get to know each other. As a teacher I understand the more I get to know my students and build a relationship with them the better the classroom environment becomes!  I have been a teacher for nine years, and I am excited to teach your seventh grade student from the comfort of your home! 

Week1- August 26, 2024
Find the prime factorization of whole numbers and write the results using exponents.
~I can make and use factor trees to find the prime factorization of numbers.
~I can write the prime factorization of a composite number using exponents.
Exploring negative numbers with exponents and negative powers
~I can identify if a negative number with an exponent will be positive or negative 
~I can solve problems with negative exponents

Week 2-
Understand the inverse relationship between squaring and finding the square root of a perfect square whole number.  Find square roots of perfect square whole numbers.
~I can find the square root, when given a perfect square whole number
~I can explain the relationship between squaring and finding the square root.
~I can identify when only the principal square root is appropriate to find.

Week3-
 Rational and irrational numbers. 
~I can classify a number as rational or irrational.
~I can use estimate values to compare and order two or more rational and/or irrational numbers.
~I can plot rational numbers and estimates of irrational numbers on a number line.

Week 4- 
Solve inequalities 
~I can use variables to represent numbers in real-world or mathematical problems and make simple inequalities to solve problems.
~I can graph and interpret the solution set of an inequality in the context of a problem.
~I can solve an inequality for an unknown value, without context.

Week 5
~I can use variables to represent numbers in real-world or mathematical problems and make simple inequalities to solve problems with negative integers
~~I can solve an inequality for an unknown value, without context, with negative integers


Week 6
Graphing Slope
~I can find the slope of a line given a graph.
~I can graph a line given its slope and one other point on the line

Week-7
Slope
~I can express slope as vertical change per unit of horizontal change.
~I can classify situations as having a constant rate of change (being linear) or as having a varying rate of change (being non-linear).
~I can explain the vertical change and the horizontal change in a real-world context.
~I can describe situations that would have a constant rate of change.
~I can describe situations that would have a varying rate of change.

Week-8
Proportional Relationships
~I can recognize a proportional relationship given a table by testing for equivalent ratios.
~I can recognize a proportional relationship given a graph.
~I can identify equivalent proportional relationships across representations.

Week 9 Unit Rate
~I can compute a unit rate.
~I can define the constant of proportionality as a unit rate.
~I can analyze tables, graphs, equations and verbal descriptions to identify the unit rate.

Week 10
Coordinates and Unit Rate
~I can explain what the points on a graph of a proportional relationship mean in terms of a specific situation.
~I can recognize that (1, r) on a graph represents the unit rate, r.
~I can explain the significance of the point (0, 0) on the graph of proportional relationship.


Week 11 
Apply the properties of operations (e.g., identity, inverse, commutative, associative, distributive properties) to create equivalent linear expressions
~I can apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients.
~I can combine like terms to factor and expand linear expressions with rational coefficients using the distributive property.
~I can use properties of operations to write equivalent expressions.
~I can rewrite an expression in an equivalent form if needed.
~I can justify the steps taken to form equivalent expressions.

Week 12
Rational numbers
~I can solve two-step real-world and mathematical problems using rational numbers.
~I can use variables to represent numbers in real-world or mathematical problems and make simple equations to solve problems.

Week 13
~I can solve multiple step equations using the distributive property


Week 14
Distance and Opposite Numbers
~I can show addition of integers on a number line.
~I can explain how p + q is the number located from p, in the positive or negative direction.
~I can describe situations where opposite quantities combine  to make zero.
~I can represent and explain how a number and its opposite have a sum of zero and are additive inverses.

Week 15
Rational Numbers and absolute value
~I can show subtraction of integers on a number line.
~I can explain that subtraction is equivalent to adding the  additive inverse.
~I can represent how the distance between two rational numbers on a number line is the absolute value of their difference.
~I can subtract rational numbers in the context of a real-world problem.

- December 23-January 5th
**********NO CLASS******** WINTER BREAK***********

SECOND SEMESTER Starts January 6th 2025

Week 16
 Distributive Property & Review negative integers
~I can recognize and describe the rules when multiplying  signed numbers.
~I can apply the distributive property to multiply rational numbers
~ with inequalities

Week 17
Compute Rational Numbers
~I can add, subtract, multiply and divide with rational numbers.
~ I can follow order of operation with negative integers 

Week 18
Compute rational numbers using word problems
~I can solve real-world problems by adding, subtracting, multiplying, and dividing rational numbers


Week 19
~I can apply proportional reasoning to solve multistep ratio and percent problems.
~I can calculate the percent increase or decrease in a given context.
~I can calculate markups and markdown using proportional relationships.
~I can calculate simple interest in a given problem.
~I can solve problems involving tax and gratuities.

Week 20


Week 21
Statistics
~I can explain why generalizations made about a population from a sample are only valid if the sample represents that population.
~I can identify when random sampling has or has not occurred.
~I can verify whether a sample is representative of a given population.

Week 22
Probability
~I can explain how the probability of an event ranges from 0, impossible, to 1, certain, with various levels of likelihood in between.
~I can explain how an event that is equally likely or equally unlikely has a probability 
of about 0.5 or 1/2.
~I can categorize and order the probabilities of events by their likelihood.
~I can identify probabilities of events using words like impossible, very unlikely, unlikely, equally unlikely/unlikely, very likely, and certain to describe the probabilities of events.

Week 23
  Probability
~I can collect data to approximate probability.
~I can use probability to predict the number of times an event will occur.
~I can identify outcomes based on a possible event.
~I can create a tree diagram to represent the sample space of simple events.
~I can investigate, develop, and use probabilities to help me solve problems.
~I can compare theoretical probabilities to observed frequencies.
~I can develop a probability model and use it to determine the probability of an event occurring.

Spring Break ~ No class March 3-9

Week 24
Scale
~I can compute actual lengths and areas from a scale drawing.
~I can compute the scale factor given the model length and actual length.
~I can solve problems with scale drawings of geometric figures.
~I can create a scale drawing using proportional reasoning.

Week 25
Angles
~I can use properties of supplementary, complementary, vertical, and adjacent angles in multi-step problems.
~I can write and solve simple equations for an unknown angle in a figure.
~I can identify types of angles in the context of a real-world problem.

Week 26
Circumference
~I can identify the formulas for the area and circumference of a circle.
~I can use the formulas for circumference and area of a circle to solve problems.
~I can explain the relationship between the circumference and the area of a circle.

Week 27
Volume
~I can solve problems involving volume of cylinders.
~I can solve problems involving volume of figures composed of right rectangular prisms.
~I can apply the volume formulas for cylinders and figures composed of right rectangular prisms to solve real-world problems.

Week 28
Nets
~I can use nets to find the surface area of right rectangular prisms and cylinders.
~I can solve problems involving surface area of cylinders.
~I can solve problems involving surface area of right rectangular prisms.

Weeks 29-35
PreAlgebra BookCamp
In the following weeks we will focus on PreAlgebra topics. We will take a pretest each week, practice the topics on the pretest, and take a post test to see our growth