Equality Explorer: Basics

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Equality Explorer: Basics kuvakaappaus  Lataa  Upota
  • Equations
  • Inequalities
  • Proportional Reasoning

Sisältö

  • Equations
  • Inequalities
  • Proportional Reasoning

Description

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.

Esimerkkejä oppimistavoitteista

  • 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.
Version 1.0.12

Teacher Tips

Opettajan opas (pdf) sisältää PhET-tiimin vinkkejä. ( PDF ).

Teacher-Submitted Activities

Introducción a la igualdad A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Diana López L
YK
Kotiteht
Labra
Guided
Matematiikka
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry YK Muu Matematiikka
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López YK
L
Muu Matematiikka
Kemia
Fysiikka
Biologia
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López YK
K-5
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Kotiteht
Demo
Discuss
Labra
Kemia
Matematiikka
Astronomia
Fysiikka
Sarrera berdinketara José Manuel López Irastorza L
YK
Guided Matematiikka
Equality Explorer: Homework + Class Venn Diagram Becca Kreidler L
YK
Kotiteht Matematiikka
Explorador da igualdade: básico Ana Maria Silva Guedes e Francisco Regis Vieira Alves YK Labra Matematiikka

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Suunnitteluryhmä Kolmannen osapuolen kirjastot Kiitokset
  • Amanda McGarry (lead designer)
  • Chris Malley (developer)
  • Diana López Tavares
  • Ariel Paul
  • Kathy Perkins
  • Argenta Price
  • Beth Stade
  • David Webb
  • Mariah Hermsmeyer (graphic arts)
  • Cheryl McCutchan (graphic arts)
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