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Accessing the Math Utah Core Standards For All Students Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

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Page 1: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

Accessing the Math Utah Core Standards For All Students

Emily Wilson UPDN Instructional Coach/Implementation Specialist

Malynda Tolbert M.EdUPDN Instructional Coach/Implementation Specialist

Page 2: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

Overview

• Utah Core Standard (UCS) Breakdown

• Instructional Strategies

• Problem Solving

Page 3: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

Outcomes

Participants will: access core standards, write student objectives based

on a standard, and identify prerequisite skills that align with the given standard.

identify instructional strategies to support all students in the accessing the core standards.

consider solutions to obstacles when planning and implementing strategies to support all learners in accessing the core standards.

Page 4: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

UCS Breakdown

1. Access UCS Standard2. Identify concepts and skills to master3. Using concepts and skills to master, write

objectives in student-friendly language4. Identify any pre-requisite skills

a) Identify vocabulary for understandingb) Identify critical background math skills

5. Based on student data, align students to needed pre-requisite skills

Page 5: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

Domain/Cluster:Standard:

Concepts and Skills to Master Student Objectives

Prerequisite Skills

Critical Background Math Skills Students Who Need Support

Vocabulary Terms

1

Utah Core Standards (UCS) Breakdown

2 3

4a 4b

5

Page 6: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

Elementary Standard

Page 7: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

UCS Breakdown

1. Access UCS Standard

Domain/Cluster: 3OA9Standard 9:

Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

Page 8: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

UCS Breakdown

2. Identify concepts and skills to master

Concepts and Skills to Master

• Students will recognize arithmetic patterns that can be found on a hundreds chart, a number line, an addition and a multiplication table.

• Students will recognize multiplication patterns that can be found on a hundreds chart and a multiplication table.

• Students will know that multiplication by an even number results in an even number.

• Students will know that multiplication of an odd number by another odd number results in an odd number.

• Students will know that multiplication of an odd number by an even number results in an even number.

• Students will explain arithmetic patterns using properties of operations.

Page 9: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

UCS Breakdown

3. Using concepts and skills to master, write objectives in student-friendly language

Concepts and Skills to Master Student Objectives

• Students will recognize arithmetic patterns that can be found on a hundreds chart, a number line, an addition and a multiplication table.

• Students will recognize multiplication patterns that can be found on a hundreds chart and a multiplication table.

• Students will know that multiplication by an even number results in an even number.

• Students will know that multiplication of an odd number by another odd number results in an odd number.

• Students will know that multiplication of an odd number by an even number results in an even number.

• Students will explain arithmetic patterns using properties of operations.

I can identify addition and multiplication patterns on hundreds charts, number lines and addition and/or multiplication tables

I can use properties of operations to explain patterns

Standard: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

Page 10: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

UCS Breakdown

4. Identify any pre-requisite skills needed to meet student objectives a) Identify critical background math skills

Student ObjectiveI can identify addition and multiplication patterns on hundreds charts, number lines and addition and/or multiplication tables

• Read graph/table/number lines

• List simple patterns and sequences

• Solve multiplication facts

• Solve addition facts

Prerequisite SkillsCritical Background Math Skills

Page 11: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

Vocabulary Terms

Pattern, Sum, Multiples, Factors, Product, Sequence, Column , Input/Output

UCS Breakdown4. Identify any pre-requisite skills needed to meet student objectives b) Identify vocabulary for understanding

Page 12: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

UCS Breakdown

5. Based on student data, align students to needed pre-requisite skills

Prerequisite SkillsCritical Background Math Skills Students Who Need Support

Read graph/table/number lines

List simple patterns and sequences

Solve multiplication facts

Solve addition facts

Johnny, Suzie

Johnny

Whole Class

Johnny, Suzie, Jane

Page 13: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

Secondary Standard Practice

Page 14: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

UCS Breakdown

1. Access UCS Standard

Domain/Cluster Solve Systems of EquationsStandard:A.REI.5 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

Page 15: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

UCS Breakdown

2. Identify concepts and skills to master

Concepts and Skills to Master

Explain the use of the multiplication property of equality to solve a system of equations.

Explain why the sum of two equations is justifiable in the solving of a system of equations. (Property of equality)

Relate the process of linear combinations with the process of substitution for solving a system of linear equations.

Page 16: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

UCS Breakdown

3. Using concepts and skills to master, write objectives in student-friendly language

Concepts and Skills to Master Student Objectives

Explain the use of the multiplication property of equality to solve a system of equations.

Explain why the sum of two equations is justifiable in the solving of a system of equations. (Property of equality)

Relate the process of linear combinations with the process of substitution for solving a system of linear equations.

I can explain and use the multiplication property to solve a system of equations.

I can explain and justify property of equality using the sum of two equations.

I can use substitution to solve linear equations

A.REI.5 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

Page 17: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

Vocabulary Terms

Elimination by multiplication and addition, substitution, systems of equations, multiplication property

UCS Breakdown4. Identify any pre-requisite skills needed to meet student objectives b) Identify vocabulary for understanding

Page 18: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

UCS Breakdown

5. Based on student data, align students to needed pre-requisite skills

Prerequisite SkillsCritical Background Math Skills Students Who Need Support

Johnny, Suzie

Johnny

Whole Class

Johnny, Suzie, Jane

Graph a line

Solve systems of equations

Solve one and two step equations

Demonstrate understanding of multiplication property

Page 19: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

Supporting Students with Instructional Strategies

Co-teaching Models

IEP Accommodations and/or Modifications

Supplemental Class for Math Skill Building

Scaffolding Instruction Variations for Student Response

Frontloading Information

Scaffolding Student Product

Additional Staff Support

Guided Notes

Provide access to tools (i.e. calculator, number lines, manipulatives, etc)

Page 20: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

Problem Solving Ideas• Collaborate with Colleagues

• Start Small

• Be invested in the process to increase outcomes for students

• Be familiar with the Core Standards

• Collect data and use that to data drive instructional decisions

Page 21: Emily Wilson UPDN Instructional Coach/Implementation Specialist Malynda Tolbert M.Ed UPDN Instructional Coach/Implementation Specialist

OutcomesParticipants will: access core standards, write student objectives based

on a standard, and identify prerequisite skills that align with the given standard.

identify instructional strategies to support all students in the accessing the core standards.

consider solutions to obstacles when planning and implementing strategies to support all learners in accessing the core standards.