Equality Explorer: Basics

මෙම අනුහුරුකරණ සිංහල භාෂාවට පරිවර්තනය කර නැත. එසේ වුවද ඔබට ඉංග්‍රීසි අනුවාදයට පහතින් ප්‍රවේශ විය හැකිය

Equality Explorer: Basics තිර රූපයක්  බාගත කරන්න  ඔබ්බනවා
  • Equations
  • Inequalities
  • සමානුපාතික තර්කනය

අන්තර්ගතය

  • Equations
  • Inequalities
  • සමානුපාතික තර්කනය

විස්තර

Explore what it means for a mathematical statement to be balanced or unbalanced by interacting with objects on a balance. Find all the ways to balance cats and dogs or apples and oranges.

ආදර්ශ ඉගෙනුම් ඉලක්ක

  • Use a balance model to solve an equation for an unknown, and justify your strategies for solving
  • Use proportional reasoning to determine the value of a single object

Standards Alignment

Common Core - Math

6.EE.B.5
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
6.EE.B.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
7.EE.B.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
7.EE.B.4
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
8.EE.C.7
Solve linear equations in one variable.
8.EE.C.7a
Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
8.EE.C.8
Analyze and solve pairs of simultaneous linear equations.
HSA-CED.A.1
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
HSA-CED.A.3
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
HSA-REI.A.1
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
HSA-REI.B.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
අනුවාදය 1.0.12

ගුරුවරුන්ට ඉඟි

ගුරුවරුන් සඳහා ඉඟි  PDF ආකෘතියෙන් බාගත කර ගන්න ගුරු මාර්ගෝපදේශ සංග්‍රහයෙහි (pdf) PhET කණ්ඩායම විසින් නිර්මාණය කරන ලද ඉඟි අඩංගු වේ. ( පීඩීඑෆ් ).

ගුරුවරුන් ඉදිරිපත් කල ක්‍රියාකාරකම්

Introducción a la igualdad රන් තරුවක් මගින් පෙන්නා දෙන්නේ ඉහළ ගුණාත්මක බවින් යුක්ත වූ    PhET නිර්මාණ මාර්ගෝපදේශ අනුගමනය කළ , විමසීම් මත පදනම්වූ  ක්‍රියාකාරකම් බවයි. මෙම දායකත්වය PhET විසින් නිර්මාණය කරන ලදී. Diana López MS
HS
Guided
Lab
HW
Mathematics
Middle School Math Sim Alignment මෙම දායකත්වය PhET විසින් නිර්මාණය කරන ලදී. Amanda McGarry MS Other Mathematics
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) මෙම දායකත්වය PhET විසින් නිර්මාණය කරන ලදී. Diana López HS
MS
Other Mathematics
Physics
Biology
Chemistry
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) මෙම දායකත්වය PhET විසින් නිර්මාණය කරන ලදී. Diana López K-5
MS
Demo
Guided
HW
Discuss
Lab
Mathematics
Physics
Astronomy
Chemistry
Sarrera berdinketara José Manuel López Irastorza HS
MS
Guided Mathematics
Equality Explorer: Homework + Class Venn Diagram Becca Kreidler MS
HS
HW Mathematics
Explorador da igualdade: básico Ana Maria Silva Guedes e Francisco Regis Vieira Alves MS Lab Mathematics

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