Here are the key components of the math curriculum for algebra for children aged 11 to 12:

Variables and Expressions: Students expand their understanding of variables as symbols that represent unknown quantities or values. They practice evaluating and simplifying algebraic expressions, solving equations with variables, and translating word problems into algebraic expressions or equations.

Patterns and Relationships: Students explore more complex patterns and relationships in numbers and shapes. They identify and describe patterns, generalize rules, and extend patterns to make predictions. They also analyze patterns using tables, graphs, and formulas.

Linear Equations: Students delve deeper into linear equations and their solutions. They learn to solve one- and two-step equations and inequalities with integers and rational numbers. They apply inverse operations and properties of equality to solve equations and verify solutions.

Proportional Relationships: Students develop a deeper understanding of proportional relationships. They learn to recognize, represent, and solve problems involving direct and inverse proportions. They explore how to write equations and ratios to describe proportional relationships.

Functions: Students continue to explore functions and their representations. They learn to identify functions from tables, graphs, and equations. They analyze patterns in input-output relationships and explore the concept of function notation.

Coordinate Geometry: Students build upon their understanding of coordinate geometry. They learn to plot and interpret points in all four quadrants of a coordinate plane. They analyze patterns, symmetry, and relationships between points and shapes using coordinates.

Problem Solving: Algebraic thinking is applied to solve a variety of real-life and mathematical problems. Students analyze word problems, identify the relevant information, set up and solve algebraic equations or inequalities, and use algebraic strategies to find solutions. They also practice explaining their reasoning and justifying their answers.

Reasoning and Generalization: Students develop reasoning skills and make generalizations based on patterns and relationships. They investigate mathematical properties and relationships, articulate their thinking, and justify their conclusions using evidence and mathematical arguments.

The curriculum aims to foster a deeper understanding of algebraic concepts, problem-solving abilities, and reasoning skills. By the age of 11 to 12, students are expected to have a solid foundation in algebra and be ready to apply their knowledge in more complex mathematical contexts involving patterns, equations, functions, and problem-solving.

Identify like & unlike terms

Decide whether each expression consists of like terms or unlike terms

Count terms in expressions

Count the number of terms in each of the given expressions

Interpret algebraic notation

For each expression, convert between algebraic notation and expanded form e.g. 3c = c + c + c

Match expressions to descriptions

Match simple algebraic expressions to the correct word description of the expression

Add like terms

Simplify expressions by adding algebraic like terms such as a + a or b² + 3b² or 5c³ + 3c³

Subtract like terms

Simplify expressions by subtracting quantities of like terms such as 5x - 3x or 13x² - 5x²

Add and subtract like terms

Simplify expressions by adding and subtracting like terms such as 5x - 3x + 6x

Add & subtract unlike terms

Simplify expressions by adding and subtracting unlike terms e.g. a + a - b or 2x - 3y + 5x

Multiply like terms

Simplify expressions by multiplying like terms with no exponents to give answers raised to a power

Multiply unlike terms

Simplify expressions by multiplying quantities of unlike terms with no exponents e.g. 2b x 3c

Terms on one side, one-step equations

In each instance use simple algebraic methods to solve for the given variable in these one-step equations

Terms on one side, two-step equations

For each two-step equation use algebraic methods to solve for the given variable

Two positive integer variables

Calculate the value of J by substituting in the given positive integer values for the 2 variables

Perimeter: squares

Form an expression for the perimeter of each of the given squares in terms of x

Perimeter: rectangles

Form an expression for the perimeter of each of the rectangles in terms of x and y

Coordinates of a point

In each instance identify the correct coordinates for the point on the graph

Plotting coordinates

Take the plotted points and the additional point coordinates to identify the polygon that is formed

Next term

For each given arithmetic sequence, find the next term

Find the rule

For each arithmetic or geometric sequence find the rule to extend the sequence

Find term from rule

Find the specified term given the first term and the rule

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