Elementary Mathematics - Mind Map

Elementary Mathematics

week two

Covering Bases.

Base Ten

Base 5

Including Homework

Base 3, etc.

Learning the background of Bases and how it is taught around the world

Why are we learning all forms of Bases?

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makes our standard way of teaching here in America easier for ourselves

Practice problems with classmates and going over homework

week four

What is Multiplication?

Meaning of multiplication and keywords

Learning different properties of multiplication

Going over different methods of multiplication as a class

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Identity, Commutative Property, Zero Property, Associative Property, & FactorsStandard AlgorithmPlace ValueExpanded NotationLattice Algorithm

Why do we emphasize place values?

Classwork

What is Division?

Meaning of division and keywords

Learning two methods of division

Places values and alternatives

Why are place values important?

week six

Test Review

Test score average

How teacher can improve exam next time

Problem Solving Strategies

HW Review

week eight

Fall Break

HW Review

week ten

Practice problems

Fractions

Test Preparation #2

Go over notes for exam

Notes

week twelve

Graphing Decimals and Percentages

Veteran's Day

week fourteen

Introduction to Integers

What are Integers?

Positive + Negative Numbers

Adding/Subtracting Integers

Dividing/ Multiplying Integers

Homework

Integers

Thanksgiving

week fifteen

Exam Review

Final Exam

week one

Welcoming the first semester and going over syllabus/expectations.

Intro to elementary mathematics. Combination practice problems and group work to practice critical thinking.

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Polya's Four Step ProblemUnderstand the problemRevise a PlanCarry Out the Plan Look Back (Reflect)

Includes Homework

Finding new methods and understanding background of said methods.

How can we make our students understand?

Why are we teaching in this way?

Using real world situations

week three

What is Addition?

Meaning of addition and place values

Going over properties of addition

Commutative

Associative

Learning different methods of addition from around the world and why they are important and useful.

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Commutative & Associative PropertyStandard AmericanPartial SumsPartial Sums with Emphasis on Place ValueLeft to Right AlgorithmExpanded NotationLattice Algorithm

How can we do this in a way students understand?

What is Subtraction?

Meaning of subtraction and keywords

Learning the different methods of subtraction and how they are used all over the world

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American StandardEuropean - Mexican AlgorithmReverse IndianLeft to Right AlgorithmExpanded NotationInteger Subtraction

How can we do this in a way students understand?

week five

Test Preparation

Go over notes for exam

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Everything we've studied past the 4 weeksMind Map as resourceSimilar to homework problemsKnow all algorithmsExplain stepsName problem solving strategiesMental StrategiesBe specific !

Test

week seven

Divisibility

Meaning of divisibility and what numbers meet the requirements

Practice Problems

Important terminology

divisors, factors, multiples

Divisibility Rules

Ending, sum, special numbers, last digits, other

GCF/LCM

What are Greatest Common Factors?

What is a Least Common Multiple?

List Method

A way of finding GCF and LCM

GCF
24: 1, 2, 3, 4, 6, 8, 12, 24
36: 1, 2, 3, 4, 6, 9, 12, 18, 36

LCM
24: 24, 48, 72, 96
36: 36, 72

Prime Factorization

What is Prime Factorization?

Practice Work

week nine

Fractions

Definition of Fractions and Ratio

Learn how to add, subtract, divide, and multiply fractions

Dividing Fractions

Learn how to divide fractions using strategies and pictures

Practice work including using pictures to show your work

week eleven

Test

Test Review

week thirteen

Decimals

What are decimals?

Learning places of decimals (tenths, hundredths, thousandths, etc.)

Turning percentages into decimals
decimals into percentages

Learning how to divide improper fractions

Homework

Improper Fractions

Problem Solving

Whole Number Operations

Number Systems

Testing

Divisibility and Prime Factorization

Fractions

Decimals and Percentages

Integers

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