UbD Curriculum Unit

Target Students: This course unit is designed for students in their practicum placement in their algebra course title in mathematics for 10th grade students. The unit is on algebraic expressions. 

Course statement: Pre-Algebra: upon the course completion the students will be able to; understand relations and functions, solve word problems using equations, solve quadratic equations, operate polynomial equations, solve inequalities using graphs and other methods, solve linear equations, evaluate algebraic expressions, understand word problems, and exponents and roots. https://essayharbour.info/2021/05/31/w%e2%80%8c%e2%80%8d%e2%80%8d%e2%80%8d%e2%80%8c%e2%80%8d%e2%80%8d%e2%80%8c%e2%80%8c%e2%80%8d%e2%80%8d%e2%80%8d%e2%80%8c%e2%80%8d%e2%80%8d%e2%80%8d%e2%80%8d%e2%80%8c%e2%80%8d%e2%80%8drite-a-paper-disc-2/

Unit statement: The unit is on algebraic expressions; it incorporates simplifying and evaluating algebraic and numeric expressions. The unit will build foundation on patterns and operations of decimals, integers and fractions.

Lesson Plan

In teaching Algebraic expressions for grade 10 mathematics it will require 10 lesson units that include; real number systems, rational and irrational numbers, rounding off, estimating surds, products, factorization, simplification of fractions, summary, end of chapter exercises and practicing the chapter. The hunter’s model identifies that there are eight elements used by teachers when planning and presenting their lessons (Owen, 2015). The elements are; anticipatory set, objective and purpose, input, modeling, checking for understanding, guided practice, independent practice and closure.

LessonObjectivesMaterialsDevelopmentPracticeDay 1:

Real number systems

Use of whole numbers, real numbers and integersWork sheets and pre-printed notes. 

Handouts

The students will watch the teacher working out different examples on real number system. The students will be guided through at least three practice problems. Day 2:

Rational and irrational numbers https://essaypandit.com/assignment-7how-technological-advancements-and-changes-may-affect-how-we-can-wo/

Understanding rational and irrational numbers, using decimal numbers, converting terminating decimals into rational numbers, converting recurring decimals into rational numbers.Mini-white board, poster paper and scrap paper, hint sheets and calculatorStudents attempt tasks individually. Then teacher makes the introduction. Then the students attempt the tasks in groups. Students handed practice problems and exchange sheets for marking. Day 3 :

Rounding off

Use the quickest way to approximate a number by rounding off a number to a given number of decimal placesPre-printed numbers and number cardsStudents will be required to round off a number to the nearest tens, hundreds and thousands.The students will be guided through at least three practice problems.Day 4: Estimating surdslook at surds of the form a√n

Estimation of surds

Surds starter

Flip charts

Handouts

Students should list square numbers to be able to simplify surds

Manipulating of expression using surds. 

Students to divide the length of different paper sizes by their width

The students will be guided through at least three practice problems.

Day 5:

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Understand expression, coefficient, base, constant and exponent

Multiplying a monomial and binomial

Multiplying two binomials

Multiplying a binomial and a trinomial

Worksheets 

Task cards

Handouts

Cartesian plane

Puzzler is explained to students on how it works

Students are required to use the polynomial puzzler to reinforce their knowledge in monomials, polynomials and binomials

The students will be guided through at least three practice problems.Day 6:

Factorization

Understanding factorizing and expanding

Learning common factors

Leaning difference of two squares

Factorizing by grouping in pairs

Factorizing a trinomial

Understanding sum and difference of two cubes

Algebraic tiles, illustrative pictures and algebraic patters

(Nakahara, 2010)

Use of factor rainbows

Use of factor trees

Students assessed their multiplication and division skills

The students will be guided through at least three practice problems.Day 7: 

Simplification of fractions

Understand how to simplify fractions

How to use the reciprocal of a fraction

Understand the use of linear and quadratic binomials in fractions

Fraction charts

Number line

Pie charts

Handouts

Drawing pictures and simplifying the fractions

Simplifying factors to the lowest terms

Using the greatest common factor

The students will be guided through at least three practice problems.Day 8: 

Chapter summary

Review of real number systems, rational and irrational numbers, rounding off, estimating surds, products, factorization, simplification of fractionsWork sheets and pre-printed notes, Mini-white board, poster paper and scrap paper, hint sheets and calculator, Pre-printed numbers and number cards, Surds starter

Flip charts, Fraction charts,

Number line, and

Pie charts

Writing all the formulas of each of the previous topics tackledThe students will be guided through at least three practice problems for each of the seven topicDay 9:

End of chapter exercises

Complete exercises touching on every topicWorksheets Individual and group workThe students will be guided through practice problems

The students will be handed questions to reinforce what they have learnt in each lesson (Westwood, 2008)

Day 10: Chapter practices. Students are given a lesson to practice on their own and ask any questions related to the studied topicsWorksheets, Handouts, Google docs, prezi, drop box and power point presentationResponse by teachers to the various issues addressed by the students

Students given assignment

Marking and giving comments