Middle and High School Math Personalized Learning Plans
We currently have customizable PLPs for grades 6-8, Algebra, Algebra 2, and Geometry. You can see the topics for each level below. If a student is below or above grade level you can use topics from any grade to meet their needs
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Grade 6
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Review
Fraction and Operations
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This section encompasses several key components of fraction operations, such as adding and subtracting fractions with unlike denominators, multiplying fractions, and dividing a unit fraction by a whole number. These calculations involving fractions provide a foundation for children to study more complex problems in higher grades.
Decimals
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There are several key components of decimals, such as adding or subtracting decimals, multiplying decimals, dividing with decimal quotients. Calculations involving decimals are skills that Grade 6 students must master.
Volume and Area
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Volume and area are very important topics in geometry. There are several key components of volume, such as volume of right rectangular prisms and volume of composite solids.
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Preview
Numerical Expressions and Factors
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As students progress to higher grades, the difficulty of calculations will increase. More complex operations, such as powers and exponents or mixed operations, will be studied. In this section, the main focus is on learning these concepts.
Fractions and Decimals
Ratios and Rates
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This is the final part of the section on fraction and decimal calculations, mainly involving fraction division and decimals division. It also serves as preparation for learning about rates and percentages later on.
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This is the students' first introduction to the concepts of ratio and rate. This section focuses on explaining these new concepts and connecting them to real-life situations, to help children understand the concepts better and use them to solve common practical problems.
Percent
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This is the students' first time learning about percent. With this new concept, the teacher will relate it to the fractions and decimals the students are already familiar with, to help them better understand the concept.
Algebraic Expressions and Properties
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This section lays the groundwork for studying algebra. The actual study of algebra begins in middle school, but here, students will get a preliminary understanding of algebraic expressions and their properties.
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Grade 7
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Review
Ratios and Rates
Expressions, Equations, and Inqualities
Area
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This section encompasses several key components of ratios and rate, such as comparing ratios using ratio tables, and using unit rates to solve problems. By the end of this section, students should be able to use reasoning about multiplication and division to solve ratio and rate problems about quantities.
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Expressions, equations, and inequalities are very important contents in the algebra section, closely related to the subsequent study of functions, and are very important topics.
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This section primarily explains the formulas for calculating the area of common geometric shapes, such as area of a triangle, parallelogram and polygons.
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Preview
Rational Numbers
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In this section, the teacher will introduce students to negative numbers, and will also explain addition, subtraction, multiplication, and division operations involving negative numbers.
Algebraic Expressions and Properties
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This section mainly involves algebraic expressions with negative numbers and evaluation problems that include operations with negative numbers.
Equations and Inequalities
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This section primarily addresses equations and inequalities involving operations with negative numbers.
Proportions
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This is the students' first time learning the concept of proportion. In this section, the teacher will focus on explaining the concept of proportion and how to solve proportion problems using multiplication or the properties of equations.
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Grade 8
Review
Equations and Inequalities
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This section primarily addresses equations and inequalities involving operations with negative numbers. It also includes solving real-world problems using equations and inequalities.
Proportions
Percent
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In this section, the teacher will focus on explaining the concept of proportion and how to solve proportion problems using multiplication or the properties of equations.
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Sixth-grade students have already learned the concept of percent and understand its relationship with fractions and decimals. This section primarily focuses on solving problems related to percent.
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Preview
Graphing and Writing Linear Equations
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The primary focus is on graphing linear equations, slope of a line, and writing equations in different forms.
Systems of Linear Equations
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This section will explain different methods for solving systems of linear equations, such as the graphing, substitution, and elimination.
Functions
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The study of functions is a particularly important part of algebra. This section will introduce the concepts of functions and linear functions, as well as methods for representing functions.
Area and Perimeter
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This section primarily covers operations with exponents, such as the product of powers property, quotient of powers property, and zero and negative exponents.
Algebra
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Linear Inequalities
and Equations
Systems of Linear Equations
Polynomial Equations and Factoring
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Solving Quadratic Equations
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Graphing and Writing Linear Equations
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Algebra 2
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Quadratic Equations and Functions
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Trigonometric Functions
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Exponential and Logarithmic Functions
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Sequences and Series
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Geometry
Basics of Geometry
Reasoning and Proofs
Triangles
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Quadrilaterals and Polygons
Transformations
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Circles
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Surface Areas and Volumes
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