**A4Ace Grade level enrichment series covers the below topics along with detailed explanations. **

**We cover school curriculam and more , including challenge level questions. Content is divided across weeks aligned to school calender year. At the end of each unit students take assessments to measure their learning and test skills. All our practice sets and assessments can be taken any number of times within the one year subscription period. Your one stop enrichment place.**

**Level 5 Mathematics Curriculum **

** This covers Grade 5 and part of Grade 6**

**Unit 1: Operations with Parts of a Whole**

Recap of prime , composite, even and odd numbersRecap of rounding ad place valuesFinding multiples, factors ,GCF and LCMEquivalent fractionsSimplifying fractionsComparing fractionsAdd and subtract simple fractionsChallenge level: Add and subtract fractions greater than oneReal-world problems on add and subtract fractionsMultiply and divide simple fractionsChallenge level: Multiply and divide fractions greater than oneReal-world problemsAssessment 1

**Unit 2: Operations with Mixed Fractions**

Converting between improper fractions and mixed numbersChallenge level: Add and subtract mixed fractionsChallenge level: Add and subtract mixed fractions greater than oneReal-world problemsAssessment 2

**Unit 3: Ratios and Proportions**

Introduction to Ratios, Rates, and ProportionsWrite a proportion given a situation or figureUsing scale drawings to find dimensionsSolving the proportionAssessment 3

**Unit 4: Percentages**

DefinePercentConvert between Fractions, Decimals, and Percent’sCompare Fractions, Decimals, and Percent’sFind the percent of a number using equivalent fractionsFinding the percent of a number using proportionsFinding discountReal-world problemsAssessment 4

**Unit 5: Decimals**

Naming decimal numbersRounding decimals to a given place valueComparing and Ordering decimalsExpanded Form of a decimal numberOperations (add, subtract, multiply, divide) decimalsReal world problems with decimalsOrder of Operations with fractions and decimals (mixed)Order of Operations word problems with fractions and decimals (mixed)Solve practical problems related to elapsed time in hours and minuteswithin a 24-hour periodAssessment 5

**Unit 6 : Integers**

Understanding Integers and using the number lineCompare and Order IntegersAbsolute value and opposite IntegersAdding Integers using a number line and rulesSubtracting Integers using the number Line and rulesMultiplying IntegersDividing IntegersWriting and solving expressions, using IntegersSimplifying basic expressions including integersSimplifying positive and negative exponents (Basic Concept)Introduction to square roots (perfect squares)Multiplication/division properties of exponentsSimplifying positive and negative exponentsConverting between scientific notation and standard forms.Order of Operations including integersWriting and solving expressions using IntegersAssessment 6

**Unit 7: Algebra; Solving Algebraic Equations**

Variables and expressions, terms, and coefficientsEvaluate Expressions including numeric exponentsEvaluating Expressions using given values (includes exponents)Learning/Recognizing algebraic vocabulary; parts of an expression/equationWriting algebraic expressions/equation from phrasesWriting algebraic expressions/equation from word problemsSimplifying expressionsFind the missing value (variable) of an equation.Solving 1-step equation using the algebraic methodSetting up and solving 1-Step equations from word problemsUsing the distributive propertySetting up equation and solving word problemsGraph inequalitiesAssessment 7

**Unit 8: Probability ****and Statistics **

Mean, Median, Mode, and RangeLine plots , dot plots , stem-leaf plotsPie chartsProbability of an event occurrenceAssessment 8

**Unit 9 : Measurement & Geometry**

Discovering a plane: plotting points on a plane, labeling the parts of a planeLabeling circleParts of a circle (center, radius, diameter, chord, tangent line) , parts of a triangleArea and perimeter of circles, triangles, and rectanglesProperties of trianglesFinding the measurement of a missing angleRecognizing and labeling a line, a line segment, and a rayThe student will investigate the sum of the interior angles in a triangle, quadrilateral and determine an unknown angle measure.Recognize and apply transformations, such as translations ,reflections and rotationsInvestigate and describe the results of combining and subdividing polygonsRecognizing Cubes, Prisms and CylindersFinding the volume of a given 3-D figureReal world problems on time and elapsed timeReal world problems on metric conversions of length, mass, and volumeAssessment 9

**Challenge Level**

Challenge Problem set 1Challenge Problem set 2Quantitative Reasoning

**Final Assessment 1**

**Final Assessment 2**

**Test Scores & Detailed Solutions :**

At the end of each practice or test, you can see score and can review your answers. In addition, the key also shows which answers were answered wrongly and by navigating through questions in key you can view solutions for each question. Your child can review the mistakes and learn from it. This will help in improving the test scores.

Students can take and retake the practice and tests as many times as needed.

**a4ace Video Academy: (Coming Up..)**

**Insights: **

Students’ dashboard and Parent dashboard will show the Analytics on the number of times tests are taken and the time it took and more. This analysis will help them to practice more in the areas of need and improve the scores in real test.

Math-Knots is the registered trademark of Math-Knots LLC. A4Ace is part of math-Knots LLC. All content as part of Math-Knots educational aids as an online plat form or printed books are copyrighted.