Algebra: Concepts and Connections - Unit 0

What
Algebra: Concepts and Connections - Unit 0
When
8/9/2024

Unit 0

Prerequisites for Algebra 1 curriculum

Course Name: Algebra I 

Modeling Unit Functions

Day 1

Day One - High Engagement Icebreaker Activity - Standards Aligned.


Resources: Engagement Activity Day 1

Day 2

Topic: The Real Number System


LT:

  • I can determine if a number is rational or irrational.

SC:

  • I will be able to classify a number as natural, whole, integer, rational, irrational.

  • I will understand the subsets natural, whole, integer are also considered to be in the rational subset.

  • I will understand rational numbers can never be irrational numbers.

  • I will understand irrational numbers can never be rational numbers.

Resources: Desmos Real Numbers Activity


 Homework/Exit Ticket


Day 3

Topic: PEMDAS

LT

  • I can use the correct order of operation when simplifying mathematical expressions.

SC:

  • I will be able to calculate the least or greatest number using integers and order of operations.

  • I will be able to evaluate an expression using the correct order of operation of PEMDAS ( parenthesis, exponents, multiplication, division, addition, subtraction).

Resources: Desmos Order of Operation

Day 4

Map Test


Resource: Have students explore Desmos when they finish the Map Test.


Explore Desmos

Day 5

Topic: Add, Subtract, Multiply Integers

LT:

  • I can use the rules of integer addition and subtraction to solve problems.

  • I can use the rules of integer multiplication to solve problems.

SC:

  • I know a positive + positive results in a positive integer.

  • I know a negative + negative results in a negative integer.

  • I know a positive + negative, use the sign of the larger absolute value number.

  • I know subtracting integers is also adding the opposite sign.

  • I know multiplying same sign integers will result in a positive integer.

  • I know multiplying opposite sign integers will result in a negative integer.

Resources: Desmos Integer Operation

Day 6

Topic: Simplifying Radicals

LT:

  • I can simplify square roots.


SC:

  • I can do the prime factorization of integers. 

  • I can find matching pairs of factors 

  • I can take the number (of the pair) outside the radical and leave the leftover factor 

  • I can memorize perfect squares.

  • I can simplify non-perfect square radicals.



Resources: Desmos Intro Simplify Radicals

Day 7

Topic: Simplifying Radicals

LT:

  • I can simplify square roots.


SC:

  • I can do the prime factorization of integers. 

  • I can find matching pairs of factors 

  • I can take the number (of the pair) outside the radical and leave the leftover factor 

  • I can memorize perfect squares.

  • I can simplify non-perfect square radicals.


Resources: 

Day 8

Quiz

Day 9

Topic: Adding and Subtracting Radicals

LT:

  • I can add and subtract radical expressions.


SC:

  • I can simplify radicals

  • I know that you can only add and subtract radicals that have like radicands. 

  • I know that when you add radicals you only change the coefficient of the radicals. Never inside!!

  • I can add and subtract radicals with like radicands.

  • I can add and subtract radicals with unlike radicands.


Resources: IXL FF5

Day 10

Topic: Adding and Subtracting Radicals

LT:

  • I can add and subtract radical expressions.


SC:

  • I can simplify radicals

  • I know that you can only add and subtract radicals that have like radicands. 

  • I know that when you add radicals you only change the coefficient of the radicals. Never inside!!

  • I can add and subtract radicals with like radicands.

  • I can add and subtract radicals with unlike radicands.


Resources: 


Day 11

Topic: Multiplying Radicals

LT:

  • I can multiply radical expressions.


SC:

  • I can simplify radical expressions. 

  • I know that when multiplying radicals you multiply the coefficients together and you multiply together what is under the radical. 

  • I can multiply and simplify radical expressions.


Resources:


Day 12

Review for Test

Day 13



Unit 0 Test - August 23, 2024

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