options: Solve systems of equations.

Write expressions in equivalent forms to solve problems.

Understand solving equations as a process of reasoning and explain the reasoning.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Gain familiarity with factors and multiples.

Understand properties of multiplication and the relationship between multiplication and division.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Write and interpret numerical expressions.

Use the four operations with whole numbers to solve problems.

Use polynomial identities to solve problems.

Create equations that describe numbers or relationships

Analyze and solve linear equations and pairs of simultaneous linear equations.

Work with equal groups of objects to gain foundations for multiplication.

Add and subtract within 20.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Reason about and solve one-variable equations and inequalities.

Perform arithmetic operations on polynomials.

Analyze patterns and relationships.

Understand and apply properties of operations and the relationship between addition and subtraction.

Use properties of operations to generate equivalent expressions.

Solve equations and inequalities in one variable.

Work with radicals and integer exponents.

Represent and solve problems involving addition and subtraction.

Represent and solve equations and inequalities graphically.

Multiply and divide within 100.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Interpret the structure of expressions.

Rewrite rational expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Generate and analyze patterns.

Represent and solve problems involving multiplication and division.

Understand the relationship between zeros and factors of polynomials.

Understand the connections between proportional relationships, lines, and linear equations.

Work with addition and subtraction equations.
problem_activity: Problem 1
Act 1: Watch the following video –
The Big Pad (Act: 1)
a.   What do you notice? What do you wonder?
b.   What is the area, in square centimeters, of the big pad? Make an estimate.
Problem 2
Act 2: Use the following information to solve -
The small pad is a square with a length of
$$7\frac{3}{5}$$
cm.
The big pad is also a square and has a length equal to
$$3\frac{2}{3}$$
small pads.
Problem 3
Act 3: Reveal the answer -
The area of the big pad is
$$776\frac{124}{225}$$
square centimeters. Was your answer reasonable? Why or why not?
Problem 4
Act 4 (the sequel): Look at the following image of the dimensions mentioned on the big pad -
[IMG]
Do these dimensions result in the same area as what we computed in Anchor Task #3? Why or why not?


correct_option_index: 7